# If an angle is 30° more than half its complement what is its measure?

Angle is

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Let x be the measure of the angle.

The complement of the angle is (90° - x).

According to the given condition: x = (90° - x)/2 + 30°

Solving for x: x = (90° - x)/2 + 30° 2x = 90° - x + 60° 3x = 150° x = 50°

So, the measure of the angle is 50°.

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