Question

find m∠yxz. answer attempt 1 out of 2 m∠yxz =

Explanation:

Step1: Identify isosceles - triangle

Since $XY = XZ$, $\triangle XYZ$ is an isosceles triangle. In an isosceles triangle, the base - angles are equal. So, $\angle Z=\angle Y = 29^{\circ}$.

Step2: Use angle - sum property of a triangle

The sum of the interior angles of a triangle is $180^{\circ}$. Let $\angle YXZ=\theta$. Then $\theta+\angle Y+\angle Z = 180^{\circ}$.
Substitute $\angle Y = 29^{\circ}$ and $\angle Z = 29^{\circ}$ into the equation: $\theta+29^{\circ}+29^{\circ}=180^{\circ}$.

Step3: Solve for $\theta$

$\theta=180^{\circ}-(29^{\circ}+29^{\circ})=180^{\circ}-58^{\circ}=122^{\circ}$.

Answer:

$122$