Question

Please help
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Answer 1

• x = 27°

Explanation:

Consider the triangle XYW.

Since ∠X is right angle, the other two angles are complementary:

• m∠Y + m∠W = 90°

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°