Question

List the angles of DEF in order from smallest to largest.
m m m

Answer 1

The arrangement of the angles from smallest to largest is : m∠D , m∠E , m∠F

The size of the angles of the triangle given can be inferred from the value of their corresponding side lengths.

The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.

Hence, the angle opposite the longest side is the largest angle and that opposite the shortest side is the smallest angle

F is the longest , hence, will have the largest angles size. This would be followed by ∠E then ∠D is the least .

Answer 2

m<D,m<E,m<F

Explanation:

The angles are ordered using the side length.

`34''\to m\angle F`

`28''\to m\angle D`

`32''\to m\angle E`

The largest angle corresponds to the longest side, the one directly opposite to it.

Since 28<32<34

The angles of triangle DEF in order from smallest to largest is

m<D,m<E,m<F