Question

Angles are not necessarily drawn to scale.

X=?

Answer 1

x = 76

Explanation:

A line has an angle measurement of 180 degrees.

Knowing that, let's first find the angle measurement of DIJ:

180 - 107 = 73

Angle DIJ has an angle measurement of 73

To find the angle measurement of DJI, we have to apply knowledge of angles in a triangle. When you add all the angles in a triangle, they ALWAYS equal to 180 degrees.

Using that knowledge, we can add 73 and 31 and subtract that value from 180:

73 + 31 = 104

180 - 104 = 76

The angle measurement of Angle DJI is 76.

Because vertical angles are ALWAYS going to have the same angle measurement, Angle AJF is going to have an angle measurement of 76 as well.

So x = 76

Hope that helps (●'◡'●)