Answer:
m<8 = 46°
Step-by-step explanation:
m<2 = m7 (alternate exterior angles are congruent)
Substitute
3x + 53 = 7x - 55
Collect like terms
3x - 7x = -53 - 55
-4x = -108
Divide both sides by -4
-4x/-4 = -108/-4
x = 27
m<8 + m<7 = 180° (linear pair angles)
Substitute
m<8 + 7x - 55 = 180°
Plug in the value of x
m<8 + 7(27) - 55 = 180
m<8 + 189 - 55 = 180
m<8 + 134 = 180
Subtract 134 from each side
m<8 = 180 - 134
m<8 = 46°
