Question

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

Answer 1

Hey there !!!!

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Complementary angles are pair of angles whose sum = 90°

      x°+y°=90°

According to question :

If x° is one of the angle 

Then the other angle is 30° more than half of "x°"

y=30°+x/2

But

x°+y°=90

x°+x/2+30=90

x°+x/2°=90-30

2x+x/2=60°

3x/2=60°

x=120/3=40°

y=30+x/2=30+40/2=30+20=50°

x=40° y=50°

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Hope this helped you.................