Question

What is the value of x? A.9 B.33 C.66 D.15 Triangle with one side extended. The exterior angle formed outside the triangle measures 114 degrees. One of the interior angles of the triangle, not adjacent to the 114 degree angle, measures 81 degrees. The other nonadjacent angle measures x degrees.

Answer 1

Option B. 33

Explanation:

Step 1 :

Given that the exterior angle is 114°. The interior angle adjacent to this is 180 - 114 = 66°

Step 2 :

Given the other 2 interior angles are 81° and x

Step 3 :

To find x

We know that the total value of all the angles of any triangle is 180 degrees.

Hence 66 + 81 + x = 180

=> 147+x = 180 => x = 180-147 = 33°

The value of x is 33 degrees