Question

The measures of the angles of a triangle are shown in the figure below. Solve for x.

(3x+13)°
(8x+14)°
109°

Answer 1

x = 4

(3x + 13) = 25°

(8x+ 14) = 46°

Explanation:

(3x + 13) + (8x +14) + 109 = 180 (Angles of a triangle)

11x + 136 = 180

11x = 180 - 136

11x = 44

x = 4

Substituting the value of x

(3x + 13) = 3×4 + 13 = 12 + 13 = 25

(8x + 14) = 8×4 + 14 = 32 + 14 = 46

Answer 2

(3x + 13) + (8x + 14) + 109 = 180°

(3x + 13) + (8x + 14) = 71°

11x + 27 = 71°

11x = 44°

x = 4