Honors Geometry Companion Book, Volume 1

1.1.4 Pairs of Angles − Practice

1.  m ∠ D = 18°. Find the measure of the supplement of ∠ D .

2.  m ∠ K = (5 x + 13)°. Find the measure of the complement of ∠ K .

3.  Determine whether this statement is true or false. If false, explain. If a ray divides an angle into two supplementary angles, then the original angle is a straight angle.

4.  Determine whether this statement is true or false. If false, explain. If an angle is obtuse, then its supplement is greater than a right angle.

5.  m ∠ GHI = 6 x ° and m ∠ LMN = 9 x °. If ∠ GHI and ∠ LMN are supplementary, what is the measure of each angle?

6.  m ∠ WYX = (2 x − 1)° and m ∠ WYZ = (4 x + 1)°. If ∠ WYX and ∠ WYZ are complementary, what is the measure of each angle?

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