Question

Among two supplementary angles the measure of the larger angle is 44° more than the measure of the smaller. Find their Measures. ​

Answer 1

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Among two supplementary angles the measure of the larger angle is 44° more than the measure of the smaller. Find their Measures.

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$\huge\boxed{\blue{Given :}}$

➣ Two supplementary angles

➣ Larger angle measure 44° more than the measure of the smaller

➣ Let the smaller supplementary angle = x°

➣ Let the larger supplementary angle = x° + 44°

$\huge\boxed{\red{To \: Find :}}$

➣ The Measure of the smaller angle

➣ The Measure of the Larger angle

$\huge\boxed{\pink {Solution :}}$

➪ The Sum of two supplementary angles = 180°

⇒ x + 44° + x = 180°

⇒ 2x + 44° = 180°

⇒ 2x = 180° - 44°

⇒ 2x = 136°

⇒ x = $\cancel\frac{136} {2}$

⇒ x = 68°

➣ Smaller Supplementary angle = x = 68°

➣ Larger Supplementary angle = x + 44 = 68 + 44 = 112°

➦ So, the Measure of the smaller supplementary angle is 68° and the Measure of the larger supplementary angle is 112°

Answer 2

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