Question

The measure of an angle is 30° less than twice its complement.Find the measure of the angle and its complement.

Answer 1

Let x be the unknown angle of the condition.

Then the complementary angle is 90°-x.

According to the condition,

90 - x = 2x - 30.

Solve it:

90 + 30 = 2x + x,

3x = 120.

Thus one angle is 40°. The other angle is 50°.

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