Question

In the given parallelogram, find the value of x and the measure of angle C.​

Answer 1

Answer:

x=6

angleC=70 degrees

Step-by-step explanation:

We can utilize the properties of a parallelogram to solve the problem.

First, we know that the two opposite parallel sides of a parallelogram are equal. This gives us the equation

2x+7=19

Solving, we get

2x=12

x=6

We also know that adjacent angles of a parallelogram always add up to 180 degrees. Thus, we get

110+angleC=180

Solving, we get

angleC=180-110

angleC=70 degrees