Refer to this figure to answer the question. Line DH is parallel to line IM. Line BO is perpendicular to line DH.
-$\mathrm { m } ( \angle \mathrm {I JN } )$ is $56 ^ { \circ } \cdot \mathrm { m } ( \angle \mathrm {I JN } ) = \mathrm { m } ( \angle \mathrm { PLM } )$. What is the measure of $\angle \mathrm { FGL }$ ?
A) $124 ^ { \circ }$
B) $56 ^ { \circ }$
C) $34 ^ { \circ }$
D) Can't determine

Question

Refer to this figure to answer the question. Line DH is parallel to line IM. Line BO is perpendicular to line DH. 
-$\mathrm { m } ( \angle \mathrm {I JN } )$ is $56 ^ { \circ } \cdot \mathrm { m } ( \angle \mathrm {I JN } ) = \mathrm { m } ( \angle \mathrm { PLM } )$. What is the measure of $\angle \mathrm { FGL }$ ?
A) $124 ^ { \circ }$ 
B) $56 ^ { \circ }$ 
C) $34 ^ { \circ }$ 
D) Can't determine

Quizplus · Accepted Answer

The sum of the angles in a triangle is 180 degrees. Since the measure of angle IJN is 56 degrees, and the measure of angle PLM is also 56 degrees, the measure of angle FGL must be 180 - 56 - 56 = 68 degrees.

Refer to This Figure to Answer the Question m(∠IJN)\mathrm { m } ( \angle \mathrm {I JN } )m(∠IJN)

Refer to This Figure to Answer the Question $\mathrm { m } ( \angle \mathrm {I JN } )$