Answer:
a = 127° , b = 12° , c = 115°
Explanation:
a and 53° are same- side interior angles and sum to 180° , that is
a + 53° = 180° ( subtract 53° from both sides )
a = 127°
c and 115° are alternate angles and are congruent , then
c = 115°
53° , b and c lie on a straight line and sum to 180°
53° + b + c = 180°
53° + b + 115° = 180°
b + 168° = 180° ( subtract 168° from both sides )
b = 12°
then a = 127° , b = 12° , c = 115°