Question

in triangle pqr, if angle p=x-12, angle q=5x-27, and angle r=2x+3, find c and the measure of each angle

Answer 1

8) x = 27

Angle P = x - 12 (15)

Angle Q = 5x - 27 (108)

Angle R = 2x + 3 (57)

Equation: (x - 12) + (5x - 27) + (2x + 3) = 180

x = 27

9) x = 14

Angle A = 7x - 6 (92)

Angle B = 3x - 5 (37)

Angle C = 4x - 5 (51)

Equation: (7x - 6) + (3x - 5) + (4x - 5) = 180

x = 14

10) x = 20

Angle K = x (20)

Angle L = x + 13 (33)

Angle J = 6x + 7 (127)

Equation: x + (x + 13) + (6x + 7) = 180

x = 20

11) x = 41

Angle Y = x (41)

Angle W = 2x - 5 (77)

Angle X = x + 21 (62)

Equation: x + (2x - 5) + (x + 21) = 180

x = 41