An angle is 30° more than one - half of its complement . Find the angles in degrees
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Answer:
Complmentary angle = 90⁰-30⁰
Complementary angle =60⁰
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Step-by-step explanation:
Given info:- An angle is 30° more than one - half of its complement.
To find out:- measure of angles in degree.
Sol:- Let the measure of the angle be x.
It's complement is 90° - x.
By the given condition, we get
x = 1/2(90° - x) + 30°
→ 2x = 90° - x + 60°
→ 3x = 90° + 60°
→ 3x = 150°
→ x = 150 ÷ 3
→ x = 50°
Hence, the measure of the angle is 50°
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