Questions: Geometry Finding an angle measure for a triangle with an extended side Find the value of x. x=

Transcript text: Geometry Finding an angle measure for a triangle with an extended side Find the value of $x$. \[ x= \]

Solution

Solution Steps

Step 1: Find the third angle in the triangle

The sum of the angles in a triangle is 180°. The given triangle has angles of 88° and 58°. So, the third angle is $180^\circ - 88^\circ - 58^\circ = 34^\circ$.

Step 2: Find the value of x

The third angle of the triangle (34°) and x form a straight line, so they are supplementary angles, and their sum is 180°. Thus, $x = 180^\circ - 34^\circ = 146^\circ$.

Final Answer: The final answer is $\boxed{146}$

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