Question

The measures of the triangle are in the ratio 2:4:6. What are the measures of the angles?

Answer 1

The measures 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`