SOLUTION: The second angle of a triangle is 30� more than the first angle, while the first angle is 26� more than 3 times the third angle. What is the measure of each angle?

Question 199144: The second angle of a triangle is 30� more than the first angle,
while the first angle is 26� more than 3 times the third angle.
What is the measure of each angle?

Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
The second angle of a triangle is 30� more than the first angle,
while the first angle is 26� more than 3 times the third angle.
What is the measure of each angle?
.
Let t = measure of third angle
then
3t+26 = measure of first angle
3t+26+30 = 3t+56= measure of second angle
.
180 = t + 3t+26 + 3t+56
180 = 7t + 82
98 = 7t
14 deg = t (third angle)
.
First angle:
3t+26 = 3(14)+26 = 42+26 = 68 deg (first angle)
.
Second angle:
68+30 = 98 deg (second angle)

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