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.

x=31

Step-by-step 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

40 degrees

Step-by-step explanation:

The answer is 40 degrees. Angle x and angle y form vertical angles, therefore x = y. Angle y forms a straight line with the 80° angle and the 60° angle which means that 80° + 60° + y = 180°. 140° + y = 180°. y= 180° - 140°. y = 40°. As mentioned earlier: x = y, so x = y = 40°.

Hope this helps