Answer:
m∠RPQ = 18°
Explanation:
Diagram is shown in image
The exterior angle ∠QRS is equal to the sum of the other 2 angles in the triangle (excluding its supplement), ∠RPQ + ∠PQR.
This will give us the equation :
7x + 7 = x + 12 + 3x + 13
Simplify
7x + 7 = 4x + 25
Subtract 4x on both sides
3x + 7 = 25
Subtract 7 on both sides
3x = 18
x = 6
To find m∠RPQ, substitute x in for x + 12.
x + 12 = ?
6 + 12 = 18
m∠RPQ = 18°