Question

question 6 (1 point) given that $overrightarrow{km}$ bisects $angle{jkl}$, find the two angle measures not given. m$angle{lkm}=$____ m$angle{jkl}=$____ blank 1: blank 2:

Explanation:

Step1: Recall angle - bisector property

An angle - bisector divides an angle into two equal angles. Since $\overrightarrow{KM}$ bisects $\angle{JKL}$ and $\angle{JKM}=63^{\circ}$, then $\angle{LKM}=\angle{JKM}$.
$\angle{LKM} = 63^{\circ}$

Step2: Calculate $\angle{JKL}$

The measure of $\angle{JKL}$ is the sum of $\angle{JKM}$ and $\angle{LKM}$. Since $\angle{JKM}=\angle{LKM} = 63^{\circ}$, then $\angle{JKL}=\angle{JKM}+\angle{LKM}$.
$\angle{JKL}=63^{\circ}+63^{\circ}=126^{\circ}$

Answer:

Blank 1: $63^{\circ}$
Blank 2: $126^{\circ}$