Question

Two complementary angles are in the ratio 7:8. What is the measure of the larger angle?

Answer 1

48°

Explanation:

We know that sum of complementary angle adds to 90°

Let the angles be 7x and 8x

First of all, finding the value of x

`\sf{7x + 8x = 90 °}`

Collect like terms

⇒
`\sf{15x = 90 °}`

Divide both sides of the equation by 15

⇒
`\sf{ (15x)/(15) = (90)/(15) }`

Calculate

⇒
`\sf{x = 6 °}`

The value of X is 6°

Now, substituting / Replacing the value of x

⇒
`\sf{7x = 7 * 6 = 42}`

⇒
`\sf{8x = 8 * 6 = 48}`

The measure of larger angle is 48°

Hope I helped!

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