Question

the measures of the angles of a triangle are in the extended ratio 2 : 4 : 6. what is the measure of the smallest angle?

Answer 1

The measurements of the angles are 30, 60 and 90 degrees

Explanation:

I assume the question should read "the measures of the ANGLES of the triangle are in the ratio 2:4:6.

If the angles are in the proportion 2:4:6, the measures of the angles have the same scale factor x. And, the sum of the measures of the angles of a triangle is 180

2x+4x+6x=180

12x=180

12x/12=180/12

x=15

The measures of the angles are:

2x=2(15)=30

4x=4(15)=60

6x=6(15)=90