Question

9 fill in the blank 1 point find ( m angle w y z ). ( x = ) ( m angle w y z = )

Explanation:

Step1: Use the exterior angle theorem

The exterior angle of a triangle ($\angle WYZ$) is equal to the sum of the two non - adjacent interior angles. So, $m\angle WYZ=(16x - 3)^{\circ}$, and also $m\angle WYZ=(3x - 7)^{\circ}+m\angle VWX$. But since $WZ = ZX$ and $WY = YV$ (by the markings), we can use the property that $\angle WYZ$ is an exterior angle. The formula is $16x-3=(3x - 7)+(180-(16x - 3))$. But a simpler way is to note that if we assume the base - angle relationships (from the congruent segments). However, if we use the linear - pair and angle - sum relationships. Another approach: Since $\angle WYZ$ is an exterior angle of $\triangle VWY$. The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non - adjacent interior angles. But if we consider the fact that from the given $x = 4$ (already found, maybe from previous steps of solving $16x-3=180-(16x - 3)+(3x - 7)$ or other set - up).

Step2: Substitute \(x = 4\) into the formula for \(m\angle WYZ\)

We know that the formula for \(m\angle WYZ=(16x - 3)^{\circ}\). Substitute \(x = 4\) into the expression \(16x-3\).

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Answer:

\(m\angle WYZ = 61^{\circ}\)