Question

Δ PQR, P=(4 x+11)°, m∠Q=(2 x+1)°, and m∠R=(7 x-14)°. Find m∠P.

Answer 1

67°

Explanation:

Th sum of the interior angles of a triangle is 180. Set the measurements of the three sides to 180 and solve for x. Then substitute in the value for x in 4x +11

4x + 11 + 2x + 1 + 7x -14 = 180 Combine like terms

13x - 2 = 180 Add 2 to both sides

13x = 182 Divide both sides by 13

x = 14

Plug this in for x

4x + 11

4(14) + 11

56 + 11

67