Name three other angles, with reasons, equal to 32° and determine the values of M, T, and N.

Here's the solution to question 6.1:

6.1.1 Name three other angles, with reasons, equal to $32^\circ$.

Given $\angle B = \angle KBA = 32^\circ$.

1. Angle: $\angle KTA$ Reason: Angles in the same segment (subtended by arc KA) are equal.

   $$\angle KTA = \angle KBA = 32^\circ$$

2. Angle: $\angle KCA$ Reason: Angles in the same segment (subtended by arc KA) are equal.

   $$\angle KCA = \angle KBA = 32^\circ$$

3. Angle: $\angle NAC$ Reason: Given $CN = NA$, $\triangle CNA$ is an isosceles triangle. The base angles opposite the equal sides are equal. Since $\angle KCA = 32^\circ$, then $\angle NCA = 32^\circ$. Therefore, $\angle NAC = \angle NCA$.

   $$\angle NAC = 32^\circ$$

6.1.2 Determine the values of the following:

6.1.2a) M
Assuming M refers to $\angle KMA$, the angle at the center.