Question

The measure of an angle is five times its complement. The angle measures
Choose answer:

25°

35°

65°

75°
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Answer 1

HEYA!!
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Let the angle be x

Compliment = 5X

5X + X = 90. [ Sum of Complementary Angles ]


6X = 90

X = 90/6

X =1 5

Hence the Measure of the Angle is ( 90- 15 ) = 75°

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Answer 2

The angle measures 75°

Given : The measure of an angle is five times its complement

To find : The angle measures

25°

35°

65°

75°

Solution :

Step 1 of 3 :

Assume the angle

Let the angle = x

Step 2 of 3 :

Form the equation

The measure of an angle is five times its complement

By the given condition

x = 5(90° - x)

Step 3 of 3 :

Find the angle

x = 5(90° - x)

⇒ x = 450° - 5x

⇒ 6x = 450°

⇒ x = 75°

So angle measures = 75°

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