Question

solve for x.

Explanation:

Step1: Find an interior - angle related to 107°

The angle adjacent to 107° inside the triangle is 180° - 107°=73° since they are supplementary angles.

Step2: Find another interior - angle related to 37°

The angle adjacent to 37° inside the triangle is 180° - 37° = 143°. Then the non - adjacent interior angle to 31° in the small triangle formed is 143°- 31°=112°.

Step3: Calculate x

In the triangle with angles x, 73°, and 112°, using the fact that the sum of interior angles of a triangle is 180°. So x=180°-(73° + 112°)=180° - 185°+ 35° = 35°.

Answer:

35