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).

Guest Mar 3, 2019

#1**+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

ElectricPavlov Mar 3, 2019

#1**+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