Question

quadrilateral abcd below is a parallelogram. use the figure to select the best answer from the choices provided.
if ( mangle abc = 108 ), then what is ( mangle c )?
select the best answer from the choices provided.
a. 18
b. 72
c. 92
d. 108

Explanation:

Step1: Recall the property of adjacent angles in a parallelogram

In a parallelogram, adjacent angles are supplementary. That is, \(m\angle ABC + m\angle C=180^{\circ}\)

Step2: Solve for \(m\angle C\)

Given \(m\angle ABC = 108^{\circ}\), substitute into the equation:
\(m\angle C=180^{\circ}-m\angle ABC\)
\(m\angle C = 180 - 108\)
\(m\angle C=72^{\circ}\)

Answer:

B. 72