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

use the distance formula

√ ((y2 - y1)² + (x2 - x1)²)

√ ((4-8)² + (4-5)²)

√ )² + (-1)²)

√ (16 + 1)

√ (17) = ~4.123 < answer

edit:

"additional details

what is the distance, in units, between (-5, 8) and (4, -4) in the coordinate plane? "

if you read my equation, you could have done it yourself. just replug in the numbers with negatives instead of positive in my previous answer.

√ -8)² + (4 - - 5)²)

√ )² + (9)²)

√ (144 + 81)

√ (225) = 15 < answer

step-by-step explanation: