Question

the figure to the right can be divided into two parallelograms. what is the angle measure of the point at the bottom?
the angle marked with an arc at the bottom of the figure has degree measure
(type an integer or a decimal. do not include the degree symbol in your answer.)

Explanation:

Step1: Use parallelogram angle property

In a parallelogram, consecutive angles are supplementary. For the left parallelogram, the angle adjacent to $48^\circ$ is $180^\circ - 48^\circ = 132^\circ$.

Step2: Sum angles around a line

Angles on a straight line add to $180^\circ$. The angle adjacent to $120^\circ$ in the left parallelogram is $180^\circ - 120^\circ = 60^\circ$.

Step3: Calculate the bottom angle

The bottom angle is the sum of the two derived angles: $132^\circ + 60^\circ = 192^\circ$.

Answer:

192