SOLUTION: The measurement of the second angle of a triangle is 21 degrees more than the measure of the first angle. The measure of the third angle is 15 degrees less than the measure of the

Question 500135: The measurement of the second angle of a triangle is 21 degrees more than the measure of the first angle. The measure of the third angle is 15 degrees less than the measure of the first angle. Find the measure each angle of the triangle.
Answer by Flannery(124) (Show Source): You can put this solution on YOUR website!
Let X be the measure of the first angle.
X+21 is the measure of the second angle.
X-15 is the measure of the third angle.
180=X+X+21+X-15
180=3X+6
174=3X
58=X
58+(58+21)+(58-15)=
58+79+43=
180
The measure of the first angle is 58.
The measure of the second angle is 79.
The measure of the third angle is 43.
They add up to 180 degrees.
Q.E.D.
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