Question

Find the measure of :



Two lines intersect each other forming angles 5, 6, 7, and 8 labeled clockwise. The measure of angle 5 is 45 degrees.



35°



45°



135°



145°

Answer 1

angle 5 = 45 degrees

this is given

Answer 2

angle 7 also is 45 degrees because

angle 5 = angle 7

why? because the two angles are vertical angles and vertical angles are always congruent

Answer 3

let x = measure of angle 6

(measure of angle 7) + (measure of angle 6) = 180 degrees

45 + x = 180

x = ???