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Geometry Notes
1.5 Describe Angle Pair Relationship
Name:_________________________
Period:_______Date:_____________
Complementary Angles:
Two angles whose measures have the sum of 90° . The sum of the measures of an angle and its
complement is 90° .
Supplementary Angles:
Two angles whose measures have the sum of 180° . The sum of the measures of an angle and its
Supplement is 180° .
Adjacent Angles:
Two angles that share a common vertex and side, but have no common interior points.
1. In the figure name a pair of
a. complementary angles
b. supplementary angles
c. adjacent angles
2. Find the following:
a. Given that ∠1 is a complement of ∠2 and 𝑚∠1 = 68° , find 𝑚∠2.
b. Given that ∠3 is a supplement of ∠4 and 𝑚∠3 = 56° , find 𝑚∠4.
Linear Pair:
Two adjacent angles whose non-common sides are opposite rays.
Vertical Angles:
Two angles whose sides form two pairs of opposite rays.
3. Which of the angles are vertical?
4. If 𝑚∠4 = 130° , find the other angles.
5. 𝑚∠2 = 5𝑥 and 𝑚∠3 = 𝑥, find 𝑥.
6. 𝑚∠2 = 2𝑥 + 40, 𝑚∠4 = 8𝑥 − 32, find 𝑚∠1.
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Geometry Notes
1.5 Describe Angle Pair Relationship
Name:_________________________
Period:_______Date:_____________
7. Find the values of x and y.
Find the following angles
8. 𝑚∠𝑀𝑅𝑁 = 41° , find 𝑚∠𝑁𝑅𝑃 and 𝑚∠𝑁𝑅𝑂.
9. 𝑚∠𝑀𝑅𝑁 = 45 − 3𝑥 and 𝑚∠𝑁𝑅𝑃 = 8𝑥 − 10. Find 𝑚∠𝑀𝑅𝑁 and
𝑚∠𝑁𝑅𝑃.
10. 𝑚∠𝑂𝑅𝑄 = 60° . Find 𝑚∠𝑀𝑅𝑁______, 𝑚∠𝑁𝑅𝑃______,
𝑚∠𝑁𝑅0_______, 𝑚∠𝑀𝑅𝑄_______.
11. If 𝑚∠𝑀𝑅𝑁 = 45° , what do you know about RN?
Homework Assignment
1.5 page 38
1-27 all, 30-33 all, 39, 40, 42, 43, 54
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