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18 November, 19:48

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

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  1. 18 November, 20:39
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    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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