Question

the angle of a triangle are given as 6x,(x-3), and (3x+7). find x then find the measures of the angles

Answer 1

x =17.6

The three angles are

6x = 105.6

x-3 =14.6

3x+7 = 59.8

Explanation:

The three angles of a triangle add to 180 degrees

6x + x-3 + 3x+7 = 180

Combine like terms

10x +4 = 180

Subtract 4 from each side

10x+4-4= 180-4

10x = 176

Divide each side by 10

10x/10 =176/10

x =17.6

The three angles are

6x = 6*17.6= 105.6

x-3 = 17.6-3 =14.6

and 3x+7 = 3(17.6)+7 =52.8+7 = 59.8