SOLUTION: Please help me solve this word problem: The sum of all angles in a triangle is always 180 degrees. The measure of the first angle is four times the measure of the second angle.

Question 554850: Please help me solve this word problem:
The sum of all angles in a triangle is always 180 degrees. The measure of the first angle is four times the measure of the second angle. The measure of the third angle is 78� more than the second angle. What is each angle?

Thanking you in advance,
Student Learner
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let the angles be a,b, and c
given:
(1)
(2)
(3)
--------------
This is 3 equations and 3 unknowns,
so it's solvable
Substitute (2) and (3) into (1)
(1)
(1)
(1)
(1)
and, since
(2)
(2)
(2)
and
(3)
(3)
(3)
The angles are 68, 17, and 95 degrees
check:

OK
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