SOLUTION: In triangle RST, an exterior angle meaure at T has a measure of 75. If measure of angle R= 2 times the measure of angle S, find the measure of each interior angle of triangle RST.
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Question 150859This question is from textbook
: In triangle RST, an exterior angle meaure at T has a measure of 75. If measure of angle R= 2 times the measure of angle S, find the measure of each interior angle of triangle RST. This question is from textbook
You can put this solution on YOUR website! The sum of the angles in a triangle is 180.
The sum of angle T plus the exterior angle at T is also 180 (since the two angles (T and exterior at T) form a straight line).
Thus, the exterior angle at T equals the sum of the other two interior angles
Let S be the angle at S, then R = 2S
The ext
S+2S = exterior angle T
3S = 75
S = 25
R = 2*25 = 50
T = 180-75 = 105
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