Question

In triangle IJK, JK = 18, KI = 11, and IJ = 14. Which statement about the angles of triangle IJK must be true?

Answer 1

∠I > ∠K > ∠J

Step-by-step explanation:

In triangle IJK:

• JK=18

,

• KI=11

,

• IJ=14

In any triangle, the larger a line segment, the larger the opposite angle.

`JK>IJ>KI`

• The angle opposite JK = Angle I

,

• The angle opposite IJ =Angle K

,

• The angle opposite KI = Angle J

Therefore:

`\angle I>\angle K>\angle J`

The 5th option is the correct choice.