Question

among two supplementary angles measure of the large angle is 24 more than the measure of the smaller one .find their measure
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Answer 1

Supplementary angles :  sum of two angle is 180°

According to the question,

One angle = x°

another angle = (x+24)°

So,

x + x + 24 = 180

⇒ 2x + 24 = 180

⇒ 2x = 180 - 24

⇒ 2x = 156

⇒ x = 156 ÷ 2

⇒ x = 78

So,

One angle = x° = 78°

another angle = (x+24)° = 78+24 = 102°

Answer 2

let smaller angle be x
And
larger be x+24

x+x+24=180

2x=180-24

2x=156

×=156÷2

×=78

larger angle is 24+78=102

smaller angle is78