Answer:
x = 11, ∠ B = 108° , ∠ C = 36° , ∠ D = 36°
Step-by-step explanation:
The sum of the 3 angles in a triangle is 180°
sum the 3 angles, equate to 180 and solve for x
13x - 35 + 5x - 19 + 2x + 14 = 180 ( simplify left side )
20x - 40 = 180 ( add 40 to both sides )
20x = 220 ( divide both sides by 20 )
x = 11
substitute x = 11 into the expressions for the 3 angles.
∠ B = 13x - 35 = 13(11) - 35 = 143 - 35 = 108°
∠ C = 5x - 19 = 5(11) - 19 = 55 - 19 = 36°
∠ D = 2x + 14 = 2(11) + 14 = 22 + 14 = 36°
