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: Find the supplementary angle to 112°

The angle adjacent to 112° is supplementary, meaning they add up to 180°. Therefore, this angle is 180° - 112° = 68°.

Step 2: Find the third angle in the smaller triangle

The sum of angles in a triangle is 180°. We have two angles in the smaller triangle: 37° and 68°. The third angle is therefore 180° - 37° - 68° = 75°.

Step 3: Find the angle x

The 75° angle and angle x are supplementary angles. Therefore, x = 180° - 75° = 105°.

Final Answer

105

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