Find the value of x in a triangle with given angles.

Published on February 1, 2025

Geometry

To find the unknown interior angle x, the exterior angle theorem was used, setting up and solving an equation to find x = 40 degrees.

Question

Answer

Here’s how to solve for

Exterior Angle Theorem: The exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles. In this case, the exterior angle is equal to the sum of the interior angles and .
Set up the equation: We can write this as:
Solve for x: Subtract 45 from both sides of the equation:
Calculate x:

Therefore,

Final Answer: The final answer is

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