Question

6. 21 and 22 form a linear pair. If m/1 = (5x + 9) and m/2 = (3x + 11), find the measure of

each angle.
7. 21 and 22 are vertical angles. If mZ1 = (17x + 1) and m/2 = (20x-14), find m22.
8. ZK and ZL are complementary angles. If mZK = (3x + 3) and mL = (10x-4), find the
measure of each angle.

Answer 1

Since 21 and 22 are vertical angles, they are congruent. Therefore, m/1 = m22.

Using the equation m/1 = (17x + 1) we can find the measure of the angle m22.

m22 = (17x + 1)

Since ZK and ZL are complementary angles, the sum of their measures is 90 degrees.

mZK + mL = 90

Using the equations mZK = (3x + 3) and mL = (10x-4) and substituting them in the equation, we can find the measure of each angle.

3x + 3 + 10x - 4 = 90

13x - 1 = 90

13x = 91

x = 7

Therefore, mZK = (3x + 3) = (3(7) + 3) = 24 and mL = (10x-4) = (10(7) - 4) = 66

Explanation: