Question

what is m∠jkl? enter your answer in the box.

Explanation:

Step1: Use congruent - triangle property

Since $\triangle{JWK}\cong\triangle{LWK}$ (by SSS as $JW = LW$, $JK=LK$, $WK = WK$), then $\angle{JWK}=\angle{LWK}$, and $2x + 5=3x - 6$.

Step2: Solve for $x$

Subtract $2x$ from both sides: $5=x - 6$. Then add 6 to both sides: $x=11$.

Step3: Find $\angle{JKL}$

$\angle{JKL}=(2x + 5)+(3x - 6)=5x - 1$. Substitute $x = 11$ into the expression: $5\times11-1=55 - 1=54$.

Answer:

$54^{\circ}$