SOLUTION: The measure of the largest angle of a triangle is twice the measure of the smallest angle. The measure of the third angle is 10 degrees less than the measure of the largest angle.

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Question 934370: The measure of the largest angle of a triangle is twice the measure of the smallest angle. The measure of the third angle is 10 degrees less than the measure of the largest angle. I don't know if I set this up right, so I am looking for the right answer.
What I did:
X + 1/2X - 10 = 180
1.5X = 190
X = 126.6 repeating.
I don't think that's right.
Thank you.

Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!


the largest angle of a triangle is
the smallest angle is
the third angle is
........eq.1
given:
The measure of the largest angle of a triangle is twice the measure of the smallest angle.
=> .....eq.2
The measure of the third angle is degrees than the measure of the largest angle.
=>.....eq.3...substitute for

......eq.1...........solve for

.


go to .....eq.2 plug in for


and
.....eq.3.


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