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QUESTION IMAGE

hallar x. x =

Question

hallar x. x =

Explanation:

Step1: Find an interior angle of the triangle

The angle adjacent to the $107^{\circ}$ angle is $180 - 107=73^{\circ}$ since they are supplementary angles.

Step2: Find another interior angle of the triangle

The angle adjacent to the $37^{\circ}$ angle is $180 - 37 = 143^{\circ}$. Then the third - interior angle of the triangle (the non - labeled one) and the $143^{\circ}$ angle are supplementary. So the third - interior angle of the triangle is $180-143 = 37^{\circ}$.

Step3: Calculate the value of $x$

Using the angle - sum property of a triangle ($180^{\circ}$ for the sum of interior angles), we have $x+73 + 37=180$. Simplifying the left - hand side gives $x + 110=180$. Subtracting 110 from both sides, we get $x=180 - 110$.

Answer:

$70$