SOLUTION: Three angles in a triangle add up to 180 degrees. The largest angle is two degrees more than twice the second largest angle. The smallest angle is 18 degrees less than the second

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Question 1136556: Three angles in a triangle add up to 180 degrees. The largest angle is two degrees more than twice
the second largest angle. The smallest angle is 18 degrees less than the second largest angle. Find
the measure of all three angles.
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

Three angles in a triangle add up to degrees.
..........eq.1

if the largest angle is two degrees more than twice
the second largest angle , we have
..........eq.2
if the smallest angle is degrees less than the second largest angle , we have
......eq.3
go back to eq.1
..........eq.1, substitute and
.......solve for






go to ..........eq.2




go to ......eq.3



the measure of all three angles: °, °, °


Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

Three angles in a triangle add up to 180 degrees. The largest angle is two degrees more than twice
the second largest angle. The smallest angle is 18 degrees less than the second largest angle. Find
the measure of all three angles.
Three angles in a triangle add up to 180 degrees <======= NOT NECESSARY, since in most cases, people who're familiar with geometry DO KNOW this FACT about a TRIANGLE

Let the middle angle be M

Then the largest angle measures: 2M + 2, and the smallest angle = M - 18

We then get: M + 2M + 2 + M - 18 = 180

M + 2M + M = 180 + 16

4M = 196

 

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