Question

1. look at the figure. if m∠l = 58, find m∠lkj. note: this figure is not drawn to scale. 64 90 32 58

Explanation:

Step1: Identify triangle type

Since $KJ = KL$, $\triangle KJL$ is isosceles. So, $\angle J=\angle L = 58^{\circ}$.

Step2: Use angle - sum property of a triangle

The sum of interior angles of a triangle is $180^{\circ}$. In $\triangle KJL$, let $\angle LKJ=x$. Then $x + 58^{\circ}+58^{\circ}=180^{\circ}$.

Step3: Solve for $\angle LKJ$

$x=180^{\circ}-(58^{\circ}+ 58^{\circ})=180^{\circ}-116^{\circ}=64^{\circ}$.

Answer:

$64$