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Questions and Answers
Two angles are supplementary. If one angle measures 110 degrees, what is the measure of the other angle?
Two angles are supplementary. If one angle measures 110 degrees, what is the measure of the other angle?
- 80 degrees
- 70 degrees (correct)
- 110 degrees
- 250 degrees
Two lines intersect forming a 'Z' pattern. If one of the alternate angles measures 65 degrees, what is the measure of the other alternate angle?
Two lines intersect forming a 'Z' pattern. If one of the alternate angles measures 65 degrees, what is the measure of the other alternate angle?
- 180 degrees
- 65 degrees (correct)
- 25 degrees
- 115 degrees
A triangle has two angles measuring 40 degrees and 60 degrees. What is the measure of the third angle?
A triangle has two angles measuring 40 degrees and 60 degrees. What is the measure of the third angle?
- 180 degrees
- 120 degrees
- 100 degrees
- 80 degrees (correct)
Two parallel lines are intersected by a transversal forming a 'C' pattern. If one of the co-interior angles measures 105 degrees, what is the measure of the other co-interior angle?
Two parallel lines are intersected by a transversal forming a 'C' pattern. If one of the co-interior angles measures 105 degrees, what is the measure of the other co-interior angle?
A quadrilateral has three angles measuring 80 degrees, 110 degrees, and 90 degrees. What is the measure of the fourth angle?
A quadrilateral has three angles measuring 80 degrees, 110 degrees, and 90 degrees. What is the measure of the fourth angle?
Flashcards
Complementary Angles
Complementary Angles
Two angles that add up to 90 degrees.
Supplementary Angles
Supplementary Angles
Two angles that add up to 180 degrees.
Triangle Angles
Triangle Angles
The three angles in a triangle add up to 180 degrees.
Quadrilateral Angles
Quadrilateral Angles
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Z Pattern (Alternate Angle Theory)
Z Pattern (Alternate Angle Theory)
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Study Notes
Angle Relationships
- Complementary angles are two angles that add up to 90 degrees.
- Supplementary angles are two angles that add up to 180 degrees.
- Triangle angles: The three angles inside a triangle always add up to 180 degrees.
- Quadrilateral angles: The four angles inside a quadrilateral always add up to 360 degrees.
Parallel Lines and Angles
- Alternate angles (Z-pattern): When two parallel lines are crossed by a transversal, the angles opposite each other and in the shape of a Z are equal in measure.
- Corresponding angles (F-pattern): When two parallel lines are crossed by a transversal, the angles in matching positions (i.e.,top left, top right etc) are equal in measure.
- Co-interior angles (C-pattern): When two parallel lines are crossed by a transversal, the angles inside the parallel lines, on the same side of the transversal add up to 180 degrees.
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