Question

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

Answer 1

Answer

48°

Step-by-step 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

⇒$\sf{ \frac{15x}{15} = \frac{90}{15} }$

Calculate

⇒$\sf{x = 6 °}$

The value of X is 6°

Now, substituting / Replacing the value of x

⇒$\sf{7x = 7 \times 6 = 42}$

⇒$\sf{8x = 8 \times 6 = 48}$

The measure of larger angle is 48°

Hope I helped!

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