Question

An angle measures 160° more than the measure of a supplementary angle. What is the measure of each angle?

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= y+160

x-y= 160-----------(2)

Adding the equations we get,

2x= 340

x= 170°

substituting this value in eqn (1)

170+y=180

y =10°

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