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in Lines and Angles by (44.3k points)

Find the measure of an angle which is 36° more than its complement.

1 Answer

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Best answer

Consider the required angle as x°

We know that the complement can be written as 90° – x°

x° = (90° – x°) + 36°

We can also write it as

x + x = 90 + 36

So we get

2x = 126

By division we get

x = 126/2

x° = 63°

Therefore, the measure of an angle which is 36° more than its complement is 63°

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