Solve for x: Triangle Angle Sum Theorem

Find the missing angle x in a triangle given two angles using the triangle angle sum theorem.

Answer

The problem asks us to find the value of

given a triangle with two of its angles shown. The angles given are

and

. The third angle is denoted as

We know that the sum of the interior angles of a triangle is always

. Therefore, we can set up an equation with the given angles and the unknown angle

First, add the known angles:

So the equation becomes:

To solve for

, subtract

from both sides of the equation:

Therefore, the value of

The final answer is

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Solve for x: Triangle Angle Sum Theorem

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