Question

In triangle Xyz the measure of angle YXZ is 14.5°, and the measure of angle XYZ is 75°. What is the measure of angle XZY in degrees

Answer 1

90.5 degrees

Explanation:

The sum of the angle in triangle XYZ is 180 degrees, hence;

m<XYZ + m<YXZ + <XZY = 180

Substitute the given angles

75 + 14.5 + <XZY = 180

89.5+m<XZY = 180

m<XZY = 180 - 89.5

m<XZY = 90.5 degrees

Hence the measure of angle XZY in degrees is 90.5 degrees