#1**+2 **

a = 40° = c

b = 180 - 2(40) = 100°

e is supplemental to c = 180 - 40 = 140°

So

a + b + c + e =

40 + 100 + 40 + 140 =

320°

CPhill Dec 27, 2019

#2**+1 **

angle a + angle b + angle c = 180 because the 3 interior angles of a triangle add to 180.

now, angle a is 40 degrees, because the 40 degree angle and angle a are corresponding angles (parallel lines and transversals).

The triangle is isosceles, so angle a = angle c. Angle c is 40 degrees, and by corresponding angles, the supplement of angle e is 40 degrees.

180-40=140

angle e is 140 degrees

180+140=320

The answer is 320. Sorry if it isn't really well explained, I'm not the best at explaining things.

Edit: 5 seconds after posting, i realize i said 220 instead of 320. Simple math mistake!

:9

tanmai79 Dec 28, 2019