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Estimate the degree measure of each indicated angle.
Your teacher will give you two small, rectangular papers.
On the paper with a half-circle along one side, draw and cut a straight line that starts at the center of the half-circle and goes all the way across the paper, making 2 separate pieces. On each of these two pieces, measure the angle that is marked by the arc created by part of a circle. Label the angle measure on the piece.
On the rectangular paper with a quarter-circle in one of the corners, follow the same instructions as you cut, measure, and label the two angles marked by the arc created by part of a circle.
Record your group’s measurements in the table:
| angles making a side | angles making a corner |
|---|---|
Explain how to find the measure of angle without repositioning the protractor.
Use the protractor in the picture to find the measure of angles and .
Explain how to find the measure of angle without repositioning the protractor.
Angle is a right angle. Find the measure of angle .
Point is on line . Find the measure of angle .
If two angle measures add up to , then we say the angles are complementary. Here are three examples of pairs of complementary angles.
If two angle measures add up to , then we say the angles are supplementary. Here are three examples of pairs of supplementary angles.
Complementary angles have measures that add up to 90.
For example, a angle and a angle are complementary.
Supplementary angles have measures that add up to 180.
For example, a angle and a angle are supplementary.