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Wewaii [24]
3 years ago
15

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

Mathematics
1 answer:
yan [13]3 years ago
5 0

Answer

<h3>48°</h3>

Step-by-step explanation:

We know that sum of complementary angle adds to 90°

Let the angles be 7x and 8x

<u>First </u><u>of </u><u>all,</u><u> </u><u>finding </u><u>the </u><u>value </u><u>of </u><u>x</u>

\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°

<u>Now,</u><u> </u><u>substituting </u><u>/</u><u> </u><u>Replacing</u><u> </u><u>the </u><u>value </u><u>of </u><u>x</u>

⇒\sf{7x = 7 \times  6 = 42}

⇒\sf{8x = 8 \times 6 = 48}

The measure of larger angle is 48°

Hope I helped!

Best regards!!

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