Podcast
Questions and Answers
If angle A and angle B are complementary, and angle A measures 57°, what is the measure of angle B?
If angle A and angle B are complementary, and angle A measures 57°, what is the measure of angle B?
- 33° (correct)
- 133°
- 43°
- 123°
Complementary angles must share a common vertex.
Complementary angles must share a common vertex.
False (B)
What is the value of 'x,' if two complementary angles are defined as 2x and 4x?
What is the value of 'x,' if two complementary angles are defined as 2x and 4x?
15
Two angles are considered __________ if the sum of their measures equals 90 degrees.
Two angles are considered __________ if the sum of their measures equals 90 degrees.
If angle X and angle Y are supplementary, and angle X measures 72°, what is the measure of angle Y?
If angle X and angle Y are supplementary, and angle X measures 72°, what is the measure of angle Y?
Supplementary angles must be adjacent.
Supplementary angles must be adjacent.
What is the value of y, if two supplementary angles are defined as 5y and 13y?
What is the value of y, if two supplementary angles are defined as 5y and 13y?
If two angles form a linear pair, which statement is true?
If two angles form a linear pair, which statement is true?
Angles on a straight line must share a common vertex.
Angles on a straight line must share a common vertex.
If angles on one side of a straight line are defined as 2z, 3z, and 4z, what is the value of z?
If angles on one side of a straight line are defined as 2z, 3z, and 4z, what is the value of z?
The sum of the angles at a point on one side of a straight line adds up to __________ degrees.
The sum of the angles at a point on one side of a straight line adds up to __________ degrees.
If the angles at a point are 90°, 120°, and 60°, what is the measure of the fourth angle needed to complete the full rotation?
If the angles at a point are 90°, 120°, and 60°, what is the measure of the fourth angle needed to complete the full rotation?
The sum of angles at a point will always equal 180°.
The sum of angles at a point will always equal 180°.
Six angles meet at a single point. If five of the angles measure 30°, 40°, 50°, 60°, and 70°, what is the measure of the sixth angle?
Six angles meet at a single point. If five of the angles measure 30°, 40°, 50°, 60°, and 70°, what is the measure of the sixth angle?
The sum of the angles formed around a single point is always __________ degrees.
The sum of the angles formed around a single point is always __________ degrees.
What is the defining characteristic of adjacent angles?
What is the defining characteristic of adjacent angles?
Adjacent angles cannot be supplementary.
Adjacent angles cannot be supplementary.
If two adjacent angles measure 4p and 8p degrees and form a right angle, what is the value of p?
If two adjacent angles measure 4p and 8p degrees and form a right angle, what is the value of p?
Adjacent angles share a common __________.
Adjacent angles share a common __________.
When two lines intersect, what is always true of the vertically opposite angles?
When two lines intersect, what is always true of the vertically opposite angles?
Vertically opposite angles must be adjacent.
Vertically opposite angles must be adjacent.
If one of the vertically opposite angles measures 117°, what is the measure of its vertically opposite angle?
If one of the vertically opposite angles measures 117°, what is the measure of its vertically opposite angle?
Vertically opposite angles are __________.
Vertically opposite angles are __________.
Find the value of x if two complementary angles are x and 5x-6
Find the value of x if two complementary angles are x and 5x-6
Find the value of x if two supplementary angles are 20x and 50x-10.
Find the value of x if two supplementary angles are 20x and 50x-10.
One angle measures 38 degrees. Find the measure of its complement.
One angle measures 38 degrees. Find the measure of its complement.
Angles that have a sum of 360 degrees are called _______.
Angles that have a sum of 360 degrees are called _______.
If you construct an angle of 42 degrees using a protractor, how many more degrees would you need to construct to create its supplement?
If you construct an angle of 42 degrees using a protractor, how many more degrees would you need to construct to create its supplement?
Match the following angle properties with their definition:
Match the following angle properties with their definition:
Flashcards
Complementary Angles
Complementary Angles
Two angles whose sum is 90 degrees.
Supplementary Angles
Supplementary Angles
Two angles whose sum is 180 degrees.
Angles on a Straight Line
Angles on a Straight Line
Angles that share a common vertex.
Angles at a Point
Angles at a Point
Signup and view all the flashcards
Adjacent Angles
Adjacent Angles
Signup and view all the flashcards
Vertically Opposite Angles
Vertically Opposite Angles
Signup and view all the flashcards
Study Notes
- Angles are introduced with a focus on the properties of angles for 1st Form students.
- The objectives are to define angle properties (vertically opposite, at a point, adjacent, on a straight line, supplementary, and complementary), identify different angle properties and calculate angles using angle properties.
Complementary Angles
- Complementary angles add up to 90°.
- If the sum of two angles is 90°, they are called complementary angles and each angle is the complement of the other.
- Complementary angles do not need a common vertex or common arm.
- Try this:* Find the value of "x" in the diagram where 2x + 4x = 90°
Supplementary Angles
- Supplementary angles add up to 180°.
- two angles, the angles are called supplementary angles, with each angle being the supplement of the other.
- Supplementary angles do not need a common vertex or common arm.
- Try this:* Find the value of "x" in the diagram where 10x + 8x = 180°
Angles on a Straight Line
- Angles on a straight line add up to 180° at a point.
- The sum of the angles at a point on a straight line totals 180°.
- These angles share a common vertex.
- Try this:*
- Calculate the size of angle z in a diagram with angles of 42°, 39°, and z on a straight line.
- Find the value of "x" where angles x, 3x, and 2x form a straight line.
Angles at a Point
- Angles at a point add up to 360°.
- The sum of all angles at a point is 360° equivalent to a circle or a full rotation.
- Try this:*
- Calculate angle C given the angles at a point are 63°, 50°, 75°, 110°, and C.
- Find the value of "x" in the diagram where angles 4x, 2x, x, and 3x meet at a point.
Adjacent Angles
- Adjacent angles share a common arm.
- Two angles at a point sharing a common arm are adjacent.
- Angle ABD and angle CBD are adjacent angles
- Adjacent angles can be complementary or supplementary if they share a common vertex and side.
- If adjacent angles sum to 90°, they are complementary.
- If they sum to 180°, they are supplementary.
- Try this:* Determine the missing angle, given that there are two adjacent angles, and the total angle is 56°
Vertically Opposite Angles
- Vertically Opposite Angles are Equal
- When two straight lines intersect, two pairs of vertically opposite angles are formed and are equal.
- Try this:* Solve for the values of angles a, b, and c, noting that one angle is given as 40°.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
