Question

3.
yz =

m∠y =

Explanation:

Step1: Determine the type of triangle

Since $\angle X=\angle Z = 77^{\circ}$, $\triangle XYZ$ is an isosceles triangle. In an isosceles triangle, the sides opposite equal angles are equal. So $YZ = XY$.

Step2: Calculate the length of $YZ$

Given $XY = 12$ cm, so $YZ=12$ cm.

Step3: Calculate the measure of $\angle Y$

The sum of the interior angles of a triangle is $180^{\circ}$. Let $m\angle Y=x$. Then $x + 77^{\circ}+77^{\circ}=180^{\circ}$.

$$
LATEXBLOCK0
$$

Answer:

$YZ = 12$ cm, $m\angle Y=26^{\circ}$