Question

The measures of the angles of a triangle are shown in the figure below. Find the measure of the largest angle.

(5x+14)°
(6x+17)°
105°

Answer 1

105° is the largest angle

Explanation:

All angles add up to 180°

Find the value of x

105 + 6x + 17 + 5x + 14 = 180

Combine like terms

136 + 11x =180

Isolate the x ( subtract 136 from both sides)

11x = 44

Divide both sides by 11

x = 4

Now substitute the value of x into each expression to find the largest angle

5(4) + 14 = 20 + 14 = 34°

6(4) + 17 = 24 + 17 = 41°

105 > 41 > 34