SOLUTION: in a triangle the measure of the first angle is twice the measure of the second angle. THe measure of the third angle is 20 degrees less than second angle. what is the measure of t

Question 347180: in a triangle the measure of the first angle is twice the measure of the second angle. THe measure of the third angle is 20 degrees less than second angle. what is the measure of the thrid angle.
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
Hi,
*Note: The sum of the angles in a triangle is 180 degrees
.
Let n be the number of degrees in the second angle.
The question states the following to be true:
2*n = the first angle
(n-20) = the third angle
.
Sum of the Angles
2*n + n + (n-20) = 180
.
Simplify and Solve for n
4*n = 200
n = 50
Measure of the third angle is 30
.
check your answer
100 + 50 + 30 = 180
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