Question

Find the measure of the angle indicated

Answer 1

Answer:

60° and 67°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

(49)

17x + 8 is an exterior angle of the triangle, thus

17x + 8 = 50 + 10x ( subtract 10x from both sides )

7x + 8 = 50 ( subtract 8 from both sides )

7x = 42 ( divide both sides by 7 )

x = 6

Thus

∠ C = 10x = 10(6) = 60°

(50)

99° is an exterior angle of the triangle, thus

2x + 10 + 6x + 1 = 99 , that is

8x + 11 = 99 ( subtract 11 from both sides )

8x = 88 ( divide both sides by 8 )

x = 11

Thus

∠ T = 6x + 1 = 6(11) + 1 = 66 + 1 = 67°