Question

The angles of a triangle are arranged in descending order of magnitude. If the difference between two consecutive angles is 20°, find all the three angles Explain how to solve

Answer 1

If the three angles are all 10 degrees greater or less than each other, and the smallest angle is x, then the middle angle is x + 10, and the largest is x + 20.

Since a triangle always adds up to 180 degrees, we can say x + x + 10 + x + 20 = 180.

3x + 30 = 180, once we combine like terms.

x + 10 = 60, once we divide by the common factor of 3.

x = 50, once we subtract.

This means the angles are 50, 60, and 70 degrees.

Another way of thinking is that the average of the largest and smallest angles is the middle angle, so 3 * the middle angle is 180 degrees. Since 180/3 = 60, we know the middle angle is 60, and the others are 50 and 70.

I hope you are understand my solution