Question

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

Answer 1

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

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=(3)/(2)`

so for the angles we have

`\angle G=\angle E=12((3)/(2))=18\\\\\angle D=\angle F = 180-\angle G=180-18=162`