Question

Angles P and Q are complementary.

Angle P =2x
Angle Q =7x
Find the value of x. What is the measurement of Angle P? What is the measurement of Angle Q?

Answer 1

Explained below.

Explanation:

Complementary angles are angles that sum up to 90°.

Here,

• Angle P = 2x
• Angle Q = 7x

Then,

Angle P + Angle Q = 90°

2x + 7x = 90°

9x = 90°

x = 90/9

x = 10°

Therefore,

• Measurement of Angle P = 2x = 2*10 = 20°
• Measurement of Angle Q = 7x = 7*10 = 70°

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