Question

How do I find the value of x?

Answer 1

If we know that the angle on the left is 80° we know that the angle on the right is also 80°

We can subtract these from 360° and we are left with 200°

Since all four of the remaining angles are congruent we can divide our remaining 200° by 4

When you do that you get 50, meaning each remaining angle is 50°

Making x=50°

Hope this helped!

Answer 2

x = 50

Explanation:

There are no guarantees that the question can be answered unless the lines meeting at the intersection point are staight lines. You have to assume that to be true.

The angles making up the line starting at the lower right and going up to the upper left are

80 +x + x = 180 80 and one of the two xs are vertically opposite.

80 + 2x = 180 Subtract 80 from both sides.

80-80+2x=180-80 Subtract

2x = 100 Divide by 2

2x/2 =100/2

x = 50