Question

The sum of the measures of angles x and y is 127". If the measure of angle x is 34° more than half the measure of angle y, what is the measure of each angle?​

Answer 1

Let the measure of angle x be x and angle y be y.

We are given two pieces of information:

x+y=127 --------(1)

x=y/2+34---------(2)

Substituting (2) into (1) gives

y/2+34+y=127

y=62

Substituting y=62 into (1) gives

x+62=127

x=65

Therefore x=65,y=62