Problema Solution

The smallest angle in a triangle is half the largest angle.The middle angle measures 30 degrees less than the largest triangle.Find the measure of each angle.

Answer provided by our tutors

Let L=largest angle L/2=smallest L-30=middle

L+L/2+(L-30)=180

multiply 2 times both sides. 2L+L+2L-60=360

Combine terms and add 60 to both sides. 5L=420

divide 5 intoboth sides. L=84 L/2=42 L-30=54

Check:

84+42+54=180