Question

problem 18: (first taught in lesson 49) in △ijk, ij = 4 and jk = 6. is ∠i or ∠k greater?

Explanation:

Step1: Recall the triangle side - angle relationship

In a triangle, the larger side is opposite the larger angle.

Step2: Identify the sides opposite the angles

In \(\triangle IJK\), \(\angle K\) is opposite side \(IJ = 4\), and \(\angle I\) is opposite side \(JK=6\).

Step3: Compare the angles

Since \(JK> IJ\) (\(6 > 4\)), by the side - angle relationship, \(\angle I>\angle K\).

Answer:

\(\angle I\)