Questions: The measures of the angles of a triangle are shown in the figure below. Solve for x.

The measures of the angles of a triangle are shown in the figure below. Solve for x.
Transcript text: The measures of the angles of a triangle are shown in the figure below. Solve for x.
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Solution

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Solution Steps

Step 1: Identify the sum of the angles in a triangle

The sum of the interior angles in any triangle is always 180 degrees.

Step 2: Set up the equation

Given the angles are 49°, 32°, and x°, we can set up the equation: \[ 49° + 32° + x° = 180° \]

Step 3: Solve for x

Combine the known angles and solve for x: \[ 81° + x° = 180° \] \[ x° = 180° - 81° \] \[ x° = 99° \]

Final Answer

\[ x = 99° \]

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