Question

in a triangle, the first angle is three times the measure of the second angle. the measure of the third angle is 70° more than the measure of the second angle. use the fact that the sum of the measures of the three angles of a triangle is 180° to find the measure of each angle

Answer 1

Explanation:

`3x+x+(x+70)=180`

`5x+70=180`

`5x=180-70`

`5x=110`

`x=110/5`

x = 22°

"x" is the second angle: 22°

"3x" is the first angle: 3(22) = 66°

"x + 70" is the third angle: 22 + 70 = 92°

22 + 66 + 92 = 180

Hope this helps