Questions: Geometry Finding an angle measure given extended triangles Find (x). [x=]

Geometry Finding an angle measure given extended triangles Find (x). [x=]
Transcript text: Geometry Finding an angle measure given extended triangles Find $x$. \[ x= \]
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Solution

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Solution Steps

Step 1: Identify the given angles

The problem provides two angles: 56° and 102°.

Step 2: Recognize the relationship between angles

The angles 56° and 102° are exterior angles of the triangle. The sum of the interior angles of a triangle is always 180°.

Step 3: Calculate the unknown angle

To find the unknown angle \( x \), we use the fact that the sum of the interior angles of a triangle is 180°. The unknown angle \( x \) is the exterior angle opposite to the interior angle 56°.

Since the exterior angle is equal to the sum of the two non-adjacent interior angles, we have: \[ x = 56° + 102° \]

Final Answer

\[ x = 158° \]

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