Angle 1 and angle 2 form a linear pair. The measure of angle 1 is four more than three times the measure of angle 2. Find the measure of each angle.

Answer 1

<1 and <2 form a linear pair means m<1 + m<2 = 180

m<1 = 3*m<2 + 4

substitute for m<1 in equation:

3*m<2 + 4 + m<2 = 180

4*m<2 + 4 = 180

4*m<2 = 176

m<2 = 44

m<1 + m<2 = 180

m<1 + 44 = 180

m<1 = 136