Answer:
Step-by-step explanation:
Consider the triangle XYW.
Since ∠X is right angle, the other two angles are complementary:
Also, VWX and ZYX are straight angles, which are equal to 180°.
According to angle addition postulate we have:
- m∠Y = 180° - 4x and
- m∠W = 180° - 6x
Add up the above two and compare with first sum, then solve for x:
- m∠Y + m∠W = 90°
- 180° - 4x + 180° - 6x = 90°
- 360° - 10x = 90°
- 10x = 270°
- x = 27°
