We are asked to find the value of x. Note 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 quadrilateral is also 360^(∘). Let's mark an exterior angle at each vertex of this polygon.
The exterior angles of the polygon have measures of x^(∘), 95^(∘), 115^(∘), and y^(∘). These measures sum up to 360^(∘).
x^(∘) + 95^(∘) + 115^(∘) + 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 110^(∘) angle form a straight line.
Therefore, these angles are supplementary and the sum of their measures is 180^(∘).
y^(∘) + 110^(∘) = 180^(∘)
Now we can solve this equation for y. For simplicity, we will not write the degree symbol.
