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Find angle a + angle b + angle c + angle e.

 

 Dec 27, 2019
 #1
avatar+109563 
+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° 

 

 

cool cool cool

 Dec 27, 2019
 #2
avatar+143 
+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

 Dec 28, 2019
edited by tanmai79  Dec 28, 2019

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