Question

Two supplementary angles differ by 10 degrees. Find them

Answer 1

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Answer 2

What are supplementary angles?

➾ Supplementary angles are those angles which add upto 180°. Like, 90° and 90°, 160° and 20°, etc.


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Coming to your question,

Let the 1st angle = x

Given, two supplementary angles differ by 10

= x + 10


According to the question,

x + x + 10 = 180

➾ 2x + 10 = 180

➾ 2x = 180 - 10

➾ 2x = 170

➾ x = 85



∴ 1st angle ➾ x°

➾ $\boxed {85^ {\circ}}$


∴ 2nd angle ➾ x + 10

➾ 85 + 10

➾ $\boxed {95^ {\circ}}$


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