Answer:
60° and 67°
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°