Question

A triangle has angle measures in the ratio of 1:2:3. What is the measure of each angle of the triangle? Show your work.

Answer 1

30,60 and 90

Explanation:

1:2:3, Each angle is x respectively

1x+2x+3x=180<------Equation (angles in a triangle add up to 180)

6x=180

x=30<----------------Solved equation

Now we substitute into the ratio's 1:2:3

30 x 1=30

30 x 2=60

30 x 3=90