SOLUTION: The ratio of the measures of an interior angle of the triangle to the measure of its adjacent exterior angle is 4 to 5. thank you!

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Question 935953: The ratio of the measures of an interior angle of the triangle to the measure of its adjacent exterior angle is 4 to 5.
thank you!

Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!
The exterior angle is supplemental to the adjoining interior angle.
if an interior angle and exterior angle , then

.........eq.1
.........eq.2
_________________________________
.........eq.2 ...solve for
....substitute in eq.1
.........eq.1 ...solve for




...- exterior angle
then =>...- interior angle

check ratio:



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