Question

Two angles are supplementary. The measure of the first angle is 36 degrees less than three times the second angle. What are the two measures?

Answer 1

let the angles are x° and y° ,

let , x>y

by given first condition,

x+y=180 -------(1)

by given second condition,

x=3y-36

-x+3y=36-------(2)

adding equation (1) and (2)

x+y=180

+ -x+3y=36

__________

4y=216

y = 216/4

y = 54°

substituting this value in eqn (1)

x=180-54

x= 126°

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