SOLUTION: Find angle a and angle b, giving reasons for your answer. image: triange with angles a and b labelled, one angle given as 70 degrees and an external angle in relation to b is gi

Algebra ->  Angles -> SOLUTION: Find angle a and angle b, giving reasons for your answer. image: triange with angles a and b labelled, one angle given as 70 degrees and an external angle in relation to b is gi      Log On


   

Question 896473: Find angle a and angle b, giving reasons for your answer.
image: triange with angles a and b labelled, one angle given as 70 degrees and an external angle in relation to b is given as 120 degrees
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the angle that is equal to 70 is assumed to be the unnamed angle which i'll call angle C.
the external angle outside of angle B is 120 degrees.
since the external angles of a triangle is equal to the sum of the two remote interior angles, this means that the sum of the two remote interior angles is 120 degrees.
since C is 70, then B must be 50 because 170 + 50 = 120.
angle B is the supplement of the exterior angle and is equal to 60.
your solutions are:
angle A = 50
angle B = 60
unnamed angle = 70.