Question

if two supplementary angles differ by 36°,find the angles ​

Answer 1

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Please refer to the attachment...

Answer 2

Hey Friend..

Here is the Solution..

Sum of supplementary angles = 180°

Let one angle be x °

Then, second angle = (180 - x)°

Now,

Let larger angle be x

⇒ x - (180 - x) = 36°

⇒ x - 180 + x = 36°

⇒ 2x = 180 + 36

⇒ 2x = 216°

⇒ x = 108°

∴ Other angle = 180 - 108 = 72°

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