Question

List the angle measures of △IJK in order from smallest to largest. Assume that x is a positive number.

Answer 1

Step 1

Given a triangle with sides;

`\begin{gathered} JK \\ IK\text{ } \\ JI \\ \text{and a 100}^orelated\text{ to Jk} \end{gathered}`

Required; List the angle measures of △IJK in order from smallest to largest. Assume that x is a positive number.

Step 2

The size of the angle that faces a particular side of the triangle is a strong indicator of the length of any given side. The bigger the size the longer the side. Also, the length of a side determines the size of an angle that is opposite to it or faces it. This means that the longer a side is the bigger the angle associated with it and the shorter a side is the smaller the angle associated with it.

Step 3

Conclude based on step 2

[tex]\begin{gathered} \text{The angles listed from smallest to largest } \\ m\angle KTherefore angle I (100 degrees) is the largest