Question

find the value of x and y if △jkl ~△ wyz.
x=
y=

Explanation:

Step1: Use angle - equality in similar triangles

Since $\triangle JKL\sim\triangle WYZ$, corresponding angles are equal. $\angle J=\angle W$. So, $4x - 13=71$.

Step2: Solve the equation for x

Add 13 to both sides of the equation $4x - 13=71$:
$4x=71 + 13$
$4x=84$
Divide both sides by 4: $x=\frac{84}{4}=21$.

Step3: Find the value of y

The sum of angles in a triangle is $180^{\circ}$. In $\triangle WYZ$, the third - angle $\angle Y=180-(71 + 44)=65^{\circ}$. Since $\angle K=\angle Y$ (corresponding angles in similar triangles), $y = 65$.

Answer:

$x = 21$
$y = 65$