Question

1. use the diagram to find the m∠jkl given, • m∠skl = 31° • m∠jks = 52° a. label the diagram with the given information. b. create an equation to find m∠jkl. m∠jkl = ______________

Explanation:

Step1: Identify angle - addition relationship

We know that $\angle{JKL}=\angle{JKS}+\angle{SKL}$ according to the angle - addition postulate.

Step2: Substitute given angle measures

Given $m\angle{JKS} = 52^{\circ}$ and $m\angle{SKL}=31^{\circ}$, we substitute these values into the equation. So $m\angle{JKL}=52^{\circ}+31^{\circ}$.

Step3: Calculate the sum

$52 + 31=83$, so $m\angle{JKL}=83^{\circ}$.

Answer:

$m\angle{JKL}=83^{\circ}$