Answer:
X = 65°
Y = 75°
Z = 65°
Explanation:
Hello!
Angle Y and the angle measuring 75 degrees are corresponding angles, and corresponding angles are congruent to each other in degree measure.
There is also another set of corresponding angles, and those are Angle Z and Angle X.
Since Angle Y and 75° are corresponding, we can state that Angle Y is also 75°. We can now find Angle Z by subtracting 40° and 75° from 180°. This is because the sum of angles in a triangle is 180°.
Angle Z:
- 180° - 40° - 75°
- 180°-115°
- 65°
The measure of Angle Z is 65°. We know that Z and X are corresponding, so X is also 65°.