Question

solve for m∠ljk if m∠ijk = 88° and m∠ijl = 54°.

Explanation:

Step1: Identify angle - relationship

We know that $\angle IJK=\angle IJL+\angle LJK$.

Step2: Solve for $\angle LJK$

By rearranging the formula, we get $\angle LJK=\angle IJK - \angle IJL$.
Substitute $\angle IJK = 88^{\circ}$ and $\angle IJL = 54^{\circ}$ into the formula: $\angle LJK=88^{\circ}- 54^{\circ}$.
$\angle LJK = 34^{\circ}$

Answer:

$34^{\circ}$