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Suppose that in a certain triangle, the degree measures of the exterior angles are in the ratio 2:3:4.

If the largest interior angle measures y degrees, what is the value of y?

 

Hint(s):

Remember that for each exterior angle, there's an adjacent interior angle which is its supplement ( they add up to 180 degrees).

 Mar 3, 2019

Best Answer 

 #1
avatar+19690 
+3

Exterior angle ad to 360    2+3+4  parts =   360/9  = 40 degrees per part

the largest INTERIOR angle will have the SMALLEST exterior angle (2 parts)     the int and ext angles add to 180

180  -  2 parts x 40 degress/part  = 100 degrees

 Mar 3, 2019
 #1
avatar+19690 
+3
Best Answer

Exterior angle ad to 360    2+3+4  parts =   360/9  = 40 degrees per part

the largest INTERIOR angle will have the SMALLEST exterior angle (2 parts)     the int and ext angles add to 180

180  -  2 parts x 40 degress/part  = 100 degrees

ElectricPavlov Mar 3, 2019

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