Question

What is the value of p?

Answer 1

Answer: p=22°

Step-by-step explanation:

Answer 2

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