Questions: Find the unknown angle measure. x=77

Find the unknown angle measure.
x=77
Transcript text: Find the unknown angle measure. \[ x=77 \]
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Solution

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Solution Steps

Step 1: Identify the given angles

The problem provides two angles of a triangle: 70° and 33°.

Step 2: Recall the sum of angles in a triangle

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

Step 3: Set up the equation

To find the unknown angle \( x \), use the equation: \[ x + 70° + 33° = 180° \]

Step 4: Solve for \( x \)

Combine the known angles: \[ 70° + 33° = 103° \] Subtract this sum from 180° to find \( x \): \[ x = 180° - 103° = 77° \]

Final Answer

\[ x = 77° \]

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