SOLUTION: In a triangle, the measure of the first angle is 4 times the measure of the second angle. The measure of the third angle is 36 degrees more than the second angle. What is the measu

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Question 937854: In a triangle, the measure of the first angle is 4 times the measure of the second angle. The measure of the third angle is 36 degrees more than the second angle. What is the measure of the first angle?
Found 2 solutions by TimothyLamb, MathTherapy:
Answer by TimothyLamb(4379)   (Show Source): You can put this solution on YOUR website!
x = first angle in degrees
y = second angle in degrees
z = third angle in degrees
---
x = 4y
z = y + 36
x + y + z = 180
---
put the system of linear equations into standard form
---
x - 4y = 0
y - z = -36
x + y + z = 180
---
copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
solution:
x = 96
y = 24
z = 60
---
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Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!

In a triangle, the measure of the first angle is 4 times the measure of the second angle. The measure of the third angle is 36 degrees more than the second angle. What is the measure of the first angle?


Let measure of 2nd angle, be S

Then measure of 1st angle is: 4S

Also, measure of 3rd angle is: S + 36

A triangle's angles sum to , so we get:

S + 4S + S + 36 = 180

6S + 36 = 180

6S = 180 - 36

6S = 144

S, or 2nd angle measures: , or 

1st angle measures: 4(24) or 

3rd angle measures: 24 + 36, or  

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