We know the measures of two angles. The measure of ∠YXZ is 35^(∘) and the measure of ∠WXV is 40^(∘). We want to find the measure of ∠ZXW. Let x be the measure of this angle.
Because the angles in the diagram make up a straight line, we know that they are supplementary. This means that the sum of their measures is 180^(∘). We can create an equation using the expressions for the three smaller angles and their sum.
