Question

2. Refer to the figure below. The interior angles formed by the sides of a quadrilateral

have measures that sum to 360°, what is the value of x?________

Answer 1

Your value of x will be 28°

Explanation:

First, we'll need to find the length of the two obtuse angles. To do this, you add them together. 124 + 124 = 248°.

Since we know that the entire interior measure of the figure is 360°, you have to subtract 248 from 360 to find out the measure of the two unknown angles together.

The sum of the two unknown angles is 112°.

Now, you have to divide 112 by 4, since both of the angles multiply x by two.

112 divided by 4 is equal to 28.

This means the value of x is equal to 28°

I'll check this just to be sure. First I'll start with the top two angles:

2 x 28 = 56

56 + 56 = 112

Then I'll add it to the bottom two angles:

248 + 112 = 360°

I hope this answers your question!