Questions: Solve for x.

Solve for x.
Transcript text: Solve for $x$.
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Solution

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Solution Steps

Step 1: Find the third angle of the triangle

The sum of the angles in a triangle is 180°. The given triangle has angles of 57° and x. The third angle is adjacent to the exterior angle of 121°, so it measures 180° - 121° = 59°.

Step 2: Set up an equation

The sum of the angles in the triangle is 180°, so we can write the equation x + 57° + 59° = 180°.

Step 3: Solve for x

Simplify the equation to x + 116° = 180°. Subtract 116° from both sides to get x = 64°.

Final Answer

x = 64°

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