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question find m∠zxy. answer attempt 1 out of 2 m∠zxy = ° submit answer

Question

question find m∠zxy. answer attempt 1 out of 2 m∠zxy = ° submit answer

Explanation:

Step1: Identify isosceles triangle

Since $XY = ZY$, $\triangle ZXY$ is isosceles and $\angle Z = \angle XZY=30^{\circ}$.

Step2: Use angle - sum property

The sum of angles in a triangle is $180^{\circ}$. Let $\angle ZXY=\theta$. Then $\theta + 30^{\circ}+30^{\circ}=180^{\circ}$.

Step3: Solve for $\angle ZXY$

$\theta=180^{\circ}- 30^{\circ}-30^{\circ}=120^{\circ}$.

Answer:

$120$