Question

determine the angle which is equal to four - fifth of its complement​

Answer 1

Refer the attachment:)

Answer 2

Answer:

Complementary angles sum to 90°. This means if x° is an angle its complement must be (90 - x)°. This way I can write an equation.

x° = 4(90 - x)° Distribute the 4.

x° = 360° - 4x Add 4x to both sides

5x° = 360° Divide both sides by 5

x° = 72°

If x = 72° then its complement is (90 - 18)° or 72°,

Check of answer: 4 x 18° = 72°

The two angles are 18° and 72°.

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Step-by-step explanation:

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