Answer:
C) 11
Explanation:
Exterior angles in a triangle = the sum of the interior angles of the triangle
Here, the exterior angle is ∠BCT while the interior angles are ∠CAB and ∠ABC
Using the above theorem we can say that ∠BCT = ∠CAB + ∠ABC
Plugging in the given expressions and values of the angles we acquire
9x + 6 = 3x + 2 + 70
==> combine like terms
9x + 6 = 3x + 72
==> subtract 3x from both sides
6x + 6 = 72
==> subtract 6 from both sides
6x = 66
==> divide both sides by 6
x = 11