Middle School

What is the value of x?

A. 9
B. 33
C. 66
D. 15

In a 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 :

Option B. 33

Step-by-step 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

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