Classifying and Measuring Angles Flashcards

What type of angle is represented by 90°?

What type of angle is represented by 180°?

What type of angle is represented by 38°?

What type of angle is represented by 125°?

Complementary angles have a sum of 90°.

If angle 1 measures 98° and angle 2 measures 72°, then the two angles are supplementary.

All pairs of vertical angles are equal.

Adjacent angles are always supplementary.

If angle 1 and angle 5 are vertical angles and angle 1 equals 55°, then angle 5 will equal ___.

If each of two complementary angles has the same measure, then each angle will equal ___.

In the diagram, if angle 7 equals 61°, what is the measure of angle 8?

If two angles are supplementary and one of the angles measures 38°, what is the measure of the larger angle?

An angle measuring 90° is classified as a right angle.
An angle measuring 180° is classified as a straight angle.
An angle measuring less than 90° (e.g., 38°) is classified as an acute angle.
An angle measuring more than 90° but less than 180° (e.g., 125°) is classified as an obtuse angle.

Complementary angles are defined as two angles that add up to 90°.
If angle 1 measures 98° and angle 2 measures 72°, they are not supplementary because their sum is 170° (not equal to 180°).
All pairs of vertical angles are equal in measure, demonstrating the principle of angle equivalence.
Adjacent angles are not always supplementary; they can be any two angles that share a common vertex and side.

If angle 1 and angle 5 are vertical angles and angle 1 measures 55°, angle 5 will also measure 55° due to their equal nature.
For two complementary angles with the same measure, each angle will be 45° since 45° + 45° = 90°.
Given that angle 7 is 61°, angle 8 can be determined as 119° since supplementary angles sum to 180° (180° - 61° = 119°).
If one angle in a supplementary pair measures 38°, the larger angle is 142° (180° - 38° = 142°).