Question

1. use the triangle sum theorem to solve for x

Explanation:

Step1: Recall triangle - sum theorem

The sum of the interior angles of a triangle is 180°.

Step2: Set up an equation

We have 36°+51°+x° = 180°.

Step3: Simplify the left - hand side

36 + 51+x=180, so 87 + x=180.

Step4: Solve for x

Subtract 87 from both sides: x = 180 - 87.
x = 93.

Answer:

93