Question

find the two supplementary angles which differ by 36​

Answer 1

Answer:

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Step-by-step explanation:

let the smallest one be x

another one=x-36

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x + x-36=180

2x-36=180

2x=180+36

x=216/2

x=18

Answer 2

Answer:

The angles are:-

72° & 108°

Step-by-step explanation:

Let the supplementary angles be x & y

x+y=180

=> y=180-x

Then the two supplementary angles become x & 180-x.

Given,

(180-x) - x = 36

=> 180 - x - x = 36

=> 180 - 2x = 36

=> -2x = 36 - 180

=> -2x = -144

=> x = -144/-2

.°. x = 72

Therefore,

the required supplementary angles are-

x = 72°

y = 180-x = 180-72

= 108°

Final Answer:- 72° , 108°

Hope it helps you!!