Question

In a triangle, the measure of the first angle is twice the measure of the second angle. The measure of the third angle is 64 degrees more than the measure of the second angle. Use the fact that the sum of the measures of the three angles of a triangle is 180 degrees to find the measure of each angle.

Answer 1

Argument
Let the second angle = x
Let the first angle = 2x
Let the third angle = x + 64

Substitute and Solve
x + 2x + x + 64 = 180 Collect the like terms on the left.
4x + 64 = 180 Subtract 64 from both sides.
4x = 180 - 64
4x = 116 Divide by 4
x = 116 / 4
x = 29

Conclusion
x = 29
2x = 58
x + 64 = 93 I'm leaving you with the problem of checking this out.

Answer
The first angle = 58
The second angle = 29
The Third angle = 93