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Among two supplementary angles the measure of the larger angle is 53o more than the measure of the smaller. Find their measures.

Let the smaller angle = x

then larger angle = x + 53

according to question,

x + (x + 53) = 180

⇒ 2x = 180 - 53 = 127

 ⇒ x = 63.5

smaller angle = 63.50

larger angle = (63.5 + 53)0 = 116.50

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127

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137

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It is not possible because the answer is 127 degree and 53 < 127. If you want the complement, then it is 37 degree. Thumbs up pleassssssss!!!!!!!!!! thanks.

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 let other be x;measure of supplimentary angle=180

53+x=180

x=180-53

x=27

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127 

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Solution:

Let the smaller angle be Bo, then the larger angle will be (B + 58).

As we know that if the sum of two adjacent angles equal to 180o then they are called supplementary angles.

Then B + (B + 58) = 180

B + B + 58 = 180

2B = 180 - 58

2B = 122

B = 122/2

B = 61

So the smaller angle = 61o, then the larger angle is 180o - 61o = 119o, which is (119 - 61) = 58 more than the smaller angle.

Ans: 119o 61o.

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