Question

(SAT Prep) Find the value of x.
X
125°
115°

Answer 1

Answer : 60°

Way to do

#look pic for detailed info

180° - 125° = 55°

180° - 115° = 65°

180° - 55° - 65° = 60°

180° - 60° = 120°

180° - 120° = 60°

Answer 2

x = 120°

Explanation:

you can draw a perpendicular base betweeen the two parallel segments and form a pentagon, which has 540 degrees inside.

the two base angles will each be 90°, and we have known values for the other two.

as far as 'x', that angle is vertical to the top angle of the pentagon so we add up all the known values and solve for 'x':

90 + 90 + 125 + 115 + x = 540

180 + 240 + x = 540

x = 540 - (180 + 240)

x = 540 - 420

x = 120