Question

# In a figure, ∠ A and ∠ D are complementary angles and m∠ A = 4x. Which expression can be used to find m∠ D?

- (4x + 90)
- (180 - 4x)
- (180 + 4x)
- (90 - 4x)

Hint:

### When the sum of two angles is equal to 90 degrees, they are called complementary angles.

## The correct answer is: (90 - 4x)

### m∠ D + m∠ A = 90

m∠ D + 4x = 90

m∠ D = 90 – 4x.

Hence, the correct option is D.

Sum of angles A and D is 90°.

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