Question

In the figure below, m< 1= (x+96)° and m < 2=3x°. Find the angle measure

Answer 1

x = 21

Explanation:

Angle 1 and angle 2 are supplementary because they make a straight line

so their sum is equal to 180:

m<1 + m<2 = 180

x + 96 + 3x = 180 add like terms

4x + 96 = 180 subtract 96 from both sides

4x = 84 divide both sides by 4

x = 21 to fins the angle measure replace x with the value we found