Question

The second angle of a triangle is 44 less than the first angle. The third angle is two times the first. Find the

three angles.

Answer 1

1st: 56, 2nd: 12, 3rd: 112

Explanation:

Let's allow "x" to represent the first angle. This would mean:

1st: x

2nd: x-44 [ The second is 44 less than the first(x) ]

3rd: 2x [ The third is double the first(x) ]

Then, we create and equation using each of these expressions, and set it equal to 180. This is because the sum off all the angles in a triangle is equivalent to 180.

x + x - 44 + 2x = 180

4x = 180 + 44 (224)

4x/4 = 224/4

x = 56

Finally, we insert the value of x into the expressions we made in the beginning.

1st: 56

2nd: 12

3rd: 112

To check our work, we simply need to verify whether this equation is true:

56+12+112=180

This equation is valid. Therefore, the answers provided are correct.