Question

In $\square$IJKL, side IJ || side KL $\angle$I = ${108}^{°}$ $\angle$K = ${53}^{°}$ then find the measure of $\angle$J and $\angle$L.

Answer 1

Given: side IJ || side KL
So, the interior angles on the same side of the transversal will be supplementary.
$\angle$I + $\angle$L = 180º
$\Rightarrow$${108}^{°}$ + $\angle$L = 180º
$\Rightarrow$$\angle$L = 72º
Similarly, $\angle$K + $\angle$J = 180º
$\Rightarrow$${53}^{°}$ + $\angle$J = 180º
$\Rightarrow$$\angle$J = 127º