Question

In QPC, m∠C = (x + 11)°, m∠Q = (2x + 6)°, and m∠P = 70°.

a. Set up and solve an equation to find the value of x.

Answer 1

x=31

Explanation:

QPC is a triangle. All angles of a triangle adds up to 180.

(x+11)+(2x+6)+70=180

x+11+2x+6+70=180

Combine like terms

3x+87=180

Subtract 87 from both sides

3x+87-87=180-87

3x=93

Divide both sides by 3

x=31