Question

Find the value of a.

Answer 1

71 degrees

Explanation:

Let's close the top part of the picture to make a parallelogram.

A parallelogram's four angles at each corner MUST be equal to 360 degrees.

Another property of a parallelogram is the opposite angles are congruent, meaning they're equal.

So, using these properties, we can now solve for a.

`360=a+a+109+109\\360=2a+218\\142=2a\\71=a`