Question

if an angle is 30° more than one half of its complement ,find the measure of the angles.​

Answer 1

Answer:

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

Answer 2

equation is x-30=(90-x)/2

2x-60=90-x

3x=150

x=50°