Question

Find the value of x and the measure of each angle in the parallelogram

Answer 1

Answer:

$\angle D= 162\\\\\angle E = 18\\\\\angle F = 162\\\\\angle G = 18$

Step-by-step explanation:

By properties of parallelograms we know that opposite are the same so we have

$12x=4(x+3)\\\\4(3x)=4(x+3)\\\\3x=x+3\\\\2x=3\\\\x=\frac{3}{2}$

so for the angles we have

$\angle G=\angle E=12(\frac{3}{2})=18\\\\\angle D=\angle F = 180-\angle G=180-18=162$