We are asked to find the value of x. Notice that the x∘ angle is one of the exterior angles of the polygon in the diagram. To find the measure of the x∘ angle, we will first recall an important piece of information.
This means that the sum of the exterior angles of the given triangle is also 360∘. Let's mark an exterior angle at each vertex of this triangle.
The exterior angles of the triangle have measures of x∘,150∘, and y∘. These measures add up to 360∘.
x∘+150∘+y∘=360∘
We can use this equation to find the value of x, but we need to find the value of y first. Notice that the y∘ angle and the 100∘ angle form a straight line.
Therefore, these angles are supplementary and the sum of their measures is 180∘.
y∘+100∘=180∘
Now we can solve this equation for y. For simplicity, we will not write the degree symbol.
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