SOLUTION: https://drive.google.com/file/d/1KhveEj_-N8YOkqC3aSnyIkvBx_701AxL/view?usp=sharing in the diagram in the link, find the measure, in degrees, of angle c

Algebra ->  Triangles -> SOLUTION: https://drive.google.com/file/d/1KhveEj_-N8YOkqC3aSnyIkvBx_701AxL/view?usp=sharing in the diagram in the link, find the measure, in degrees, of angle c      Log On


   

Question 1185491: https://drive.google.com/file/d/1KhveEj_-N8YOkqC3aSnyIkvBx_701AxL/view?usp=sharing
in the diagram in the link, find the measure, in degrees, of angle c
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


In the triangle containing angle c, the angle sum is

2a%2B%28180-2b%29%2Bc=180

Solve that for c to get

c=2b-2a

c=2%28b-a%29 [1]

In the triangle containing the 37 degree angle, the angle sum is

a%2B37%2B%28180-b%29=180

Simplify that equation to get

b-a=37 [2]

Substitute [2] into [1]:

ANSWER: c = 2(37) = 74 degrees