Question

Please answer w/ explanation !!

Answer 1

Angle 4 should have the same measure as the angle already shown. This is because of the vertical angles theorem.

To figure out the two remaining angles we can use math.

We start by knowing that the measure of all of the angles combined should equal 360 degrees. So we would subtract the measures of angles 1 and 4.

360-(106*2)=148

Then we divide 148 by two because there are two angles that are equal in measure.

148/2=74

a. Angle 2= 74 degrees
b. Angle 3= 74 degrees
c. Angle 4= 106 degrees