Answer:p = 22
Step-by-step explanation:
The sum of the angles on a straight line is 180 degrees. This means that
Angle 5p + angle (x + 13) = 180 degrees. Therefore
5p + x + 13 = 180
5p + x = 180 - 13
5p + x = 167 - - - - - - - - - - - 1
The sum of the angles in a triangle is 180 degrees. This means that
x + 13 + 45 + 2p + 21 = 180
2p + x + 13 + 45 + 21 = 180
2p + x + 13 + 45 + 21 = 180
2p + x + 79 = 180
2p + x = 180 - 79 = 101 - - - - - - - - - -2
Subtracting equation 2 from equation 1, it becomes
3P = 167 - 101 = 66
p = 66/3 = 22
5 × 22 + x = 167
110 + x = 167
x = 167 - 110 = 57
