Question

What is the measure of x?
90°
120°
108°
100°

Answer 1

108

I hoped that helped

Answer 2

All of the given answers are incorrect because the value of the angle x= 58 degrees.

We are given a pentagon with four interior angles 90, 100, 108 and 120 degrees.

The fifth interior angle of the Pentagon is not given which can be found as follows:-

As we know the sum of all the interior angles of a pentagon = 540 degrees.

Let the fifth angle of the Pentagon penta= y.

Then, y+90+100+108+120=540 degrees.

y= 540-418

y= 122 degrees.

Now we have to find out value of the angle x which is an exterior angle of the Pentagon, which can be found as follows:-

As we know the sum of two interior and exterior angles=180 degrees.

x+y=180 degrees

x+122=180 degrees

x= 180-122

x= 58 degrees.