Answer:
p = 22 , x = 57
Explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
5p is an exterior angle of the triangle , then
5p = 2p + 21 + 45
5p = 2p + 66 ( subtract 2p from both sides )
3p = 66 ( divide both sides by 3 )
p = 22
then
5p = 5 × 22 = 110
5p and (x + 13) are a linear pair and sum to 180° , that is
5p + x + 13 = 180 , so
110 + x + 13 = 180
x + 123 = 180 ( subtract 123 from both sides )
x = 57