Question

in the figure below, (mangle jkl = 75^{circ}) and (mangle1 = 29^{circ}). find (mangle2).

Explanation:

Step1: Identify angle - sum relationship

We know that $m\angle{JKL}=m\angle{1} + m\angle{2}$.

Step2: Solve for $m\angle{2}$

Rearrange the formula to $m\angle{2}=m\angle{JKL}-m\angle{1}$.
Substitute $m\angle{JKL} = 75^{\circ}$ and $m\angle{1}=29^{\circ}$ into the formula: $m\angle{2}=75 - 29$.
$m\angle{2}=46^{\circ}$

Answer:

$46$