SOLUTION: Suppose the measure of an exterior of an equiangular triangle is (x + 15)°. What is the value of x? x+15=120 -15 -15 x=105 Because the 2 angles of a triangle equals th

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Question 667233: Suppose the measure of an exterior of an equiangular triangle is (x + 15)°. What is the value of x?
x+15=120
-15 -15
x=105
Because the 2 angles of a triangle equals the measure of an exterior angle.
My teacher says that x=105, I was just wondering If I am doing this and explaining it correctly as to why I missed it.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Suppose the measure of an exterior of an equiangular triangle is (x + 15)°.    What is the value of x?

Measure of an Interior angle of an equiangular triangle is: 60°

The exterior angle (x+15)° is the supplement of the interior angle:

 (x+15)° = 180° - 60° = 120°

   x+15°=120°

     x = 105°



Using Your method of solving:

Perhaps it was because of Your following statement did not say what you wanted it to say.

"Because the 2 angles of a triangle equals the measure of an exterior angle"



better stated would be something like this:

An measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.