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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
: 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.
Answer by vleith(967) About Me  (Show Source):
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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