Question

In a triangle the first angle is greater than the second angle by 18 degree and less than the third angle by 10 grade. Express all the angles in grade.

Answer 1

The 3 angles are 62 2/3, 44 2/.3 and 72 2/3 degrees.

Explanation:

let x be the first angle then the the second angle is x - 18 and the third angle = x + 10

The 3 angles add up to 180 so:

x + x - 18 + x + 10 = 180

3x = 180 + 18 - 10 = 188

x = 188/3 = 62 2/3 degrees.

x - 18 = 44 2/3

x + 10 = 72 2/3.