Question

The ratios of measures of the angles in Triangle ABC is 4:13:19. Find the measures of each of the angles. Show all of your work/explain in order to receive full credit.

Answer 1

20

65

95

Explanation:

Remark

You have to use a constant to get the ratio so that it will produce angles that will add up to 180. Let that constant = x

Equation

4x + 13x + 19x = 180

Solution

Add the like terms on the left.

36x = 180

Divide both sides by 36

36x/36 = 180 /36

Combine

x = 5

Answer

4x = 20

13x = 65

19x = 95

Total = 180