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f the angle is 30 degree more than one half of its complement, then ..... simplify to get 1.5 * x = 75. solve for x to get x = 75 / 1.5 = 50. the angle is 50 degrees.
Step-by-step explanation:
an angle is 30 degree more than half of its complement
(an angle) is 30° more than half of (its) complement
θ = 30° more than half of θs complement
θ = (half of θs complement) + 30°
θ = (θs complement)/2 + 30°
θ = (90° - θ)/2 + 30°
2θ = (90° - θ) + 60°
2θ = 90° - θ + 60°
2θ + θ = 90° + 60° = 150°
3θ = 150°
θ = 50°
its complement = 40°
half its complement = 20°
30° more than half its complement = 50° = θ
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The Angle is 50°.
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