Question

what is the measure of an angle which is 30 degree more than one-half of its complement

Answer 1

Heya..

➡Complementary angles are those whose sum is 90°.

➡Let the angles be x and 1/2x+30

➡x+1x/2+30= 90°
2x+1x+60/2 = 90°
3x+60/2= 90°
3x+60= 90*2
3x+60= 180°
3x= 180-60
3x = 120°
x= 120/3
x= 40°

➡Angles are:
x = 40°
1/2*x+30 = 1/2*40+30
= 20+30
= 50°