Question

If ZXyz and ZZYC form a linear pair and the measure of ZXYZ is 72°, whatis the measure of ZZYC?O A. 28°B. 18°C. 108°D. 72°

Answer 1

Given:

m∠XYZ = 72 degrees

m∠XYZ and m∠ZYC form a linear pair.

Let's find the measure of ∠ZYC.

To find the measure of angle ZYC, apply the Linear Pair of Angles theorem which states that the sum of angles that form a linear pair is 180 degrees.

Hence, we have:

m∠XYZ + m∠ZYC = 180

72 + m∠ZYC = 180

• Subtract 72 from both sides:

72 - 72 + m∠ZYC = 180 - 72

m∠ZYC = 180 - 72

m∠ZYC = 108 degrees.

Therefore, the measure of ∠ZYC is 108 degrees.

ANSWER:

C. 108°