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3 years ago

5

angles X and Y are supplementary and the mesure of angle X is 24 degrees greater than the measure of angle Y. Find the measures

of angles X and Y

1 answer:

BartSMP [9]3 years ago

4 0

Measures of angles are X = 102° and Y = 78°

Step-by-step explanation:

Step 1: Let ∠X = 24 + Y. As they are supplementary angles, ∠X + ∠Y = 180°

⇒ 24 + Y + Y = 180

⇒ 2Y = 180 - 24 = 156

⇒ Y = 156/2 = 78°

Step 2: Find measure of X

⇒ X = 24 + Y = 24 + 78 = 102°

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3 years ago

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sp2606 [1]

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<h3>Angles in a triangle</h3>

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learn more on triangle angles here: brainly.com/question/15161714

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2 years ago