Question

Between two supplementary angles the measure of the larger angle is 46 degree more than the measure of the smaller.Find their measures.​

Answer 1

Answer : Let the smaller angle be x

⇒ x + x + 46 = 180°  

⇒ 2x + 46 = 180°

⇒ 2x = 180 - 46

⇒ 2x = 134°

⇒ x = 134 ÷ 2

       = 67

∴ The measure of the smaller angle is 67° and the measure of the larger angle is 113° (67+46)

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Answer 2

Step-by-step explanation:

let the smaller angle be measure x and the larger angle measure 46°+x but we know that supplementary angles means sum of two angles =180°,there fore x+x+46°=180°,2x=180°-46°,2x=134°,x°=67° there fore the measure of smaller angle is 67° and the measure of larger angle=67°+46°=113°