Given O is the center of the circle. KM is a diameter.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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Here are the solutions for Exercise 2, determining the value of the lowercase letters and providing reasons.
Figure 1:
Given $O$ is the center of the circle. $KM$ is a diameter.
Step 1: Find $\angle JON$.
In $\triangle OJN$, $OJ = ON$ (radii). Therefore, $\triangle OJN$ is an isosceles triangle.
$$\angle ONJ = \angle OJN = 32^\circ$$
The sum of angles in $\triangle OJN$ is $180^\circ$.
$$\angle JON = 180^\circ - (\angle OJN + \angle ONJ)$$
$$\angle JON = 180^\circ - (32^\
