See image! two lines below intersect to form four angles, as shown. the measure of angle 2 is 114°. what is the sum of the measures of angles 1 and 3?
a) 66
b) 90
c) 114
d) 132

ANSWER:

Angles 2 and 4 are vertical angles, which means they have the same angle measure because they are opposite of each other. So angles 2 and 4 are both 114 so that makes 228. All of the angles have to make 360, so 360 - 228 = 132. Then, 132/2 because there are two angles. That makes 66. And angles 1 and 3 are also vertical angles so they are also the same

The answer is 132