Question

The measure of angle Z is twelve less than five times the measure of angle Y. If angle Y and angle Z form a linear

pair, find the measure of angle Z.

Answer 1

Z = 148°

Explanation:

Y - the measure of angle Y

5Y - five times the measure of angle Y

5Y-12 - twelve less than five times the measure of angle Y

Z = (5Y - 12)°

Y and Z being linear pair of angles means they create a straight angle so they add to 180°

Y + Z = 180

Y + 5Y - 12 = 180

6Y = 192

Y = 32

Z = (5•32 - 12)° = (160 - 12)° = 148°