Question

The sum is the measure of three angles of a triangle is 180 degrees. In a triangle, the measures of an angle are x,x+12 and x-48. What is the measure of each angle?

Answer 1

24° , 72° , 84°

Explanation:

sum the 3 angles and equate to 180 , that is

x + x + 12 + x - 48 = 180

3x - 36 = 180 ( add 36 to both sides )

3x = 216 ( divide both sides by 3 )

x = 72

Then the measure of the 3 angles are

x = 72°

x + 12 = 72 + 12 = 84°

x - 48 = 72 - 48 = 24°