Question

Find the value of x.

Answer 1

Answer:

Step-by-step explanation:

Using the Z theorem, the upper  angle on the right = 60 degrees.

The angle which includes 3x is 120  because this is a parallelogram and consecutive angles must add to 180. So 180 - 60 = 120

The angle above the 3x is 120 - 3x

120 - 3x + 90 + 2x = 180 These angles make a straight line line. Combine.

210 - x = 180                    Subtract 210 from both sides.

- x = 180 - 210                  Combine

-x = - 30                           Multiply both sides by - 1

x = 30