Question

Angle 1 and Angle 2 are a linear pair. Angle 1=x-15, and angle 2=x+77. Solve for x then find the measure of each angle.

Answer 1

Answer: x=59, angle 1= 44˚, angle 2= 136˚

Step by step explanation:

Linear pairs add to make 180˚.

So angle 1 + angle 2= 180˚

Therefore x-15+x+77= 180

Add the x’s to get 2x
And then -15+77 to get 62.

So 2x+62=180
Subtract 62 to get 2x=118
Then divide by 2 to get x=59

Then substitute the x value into the angle equations

So angle 1 will be 59-15 which is 44˚
And angle 2 will be 59+77 which is 136˚