Question

*only do question 16*diagrams are not drawn to scale.i only care about the answers and steps on how you got the answers.don’t be slow pls (:

Answer 1

Given the figure of a circle

The measure of the arc a will be calculated as follows:

$a+53+86=180$

Solve for a:

$\begin{gathered} a+139=180 \\ a=180-139=41 \end{gathered}$

The measure of the inscribed angle is half the measure of the arc opposite to it

So, the measure of angle b = 0.5 x 53 = 26.5

And the measure of the angle c = 0.5 x a = 0.5 x 41 = 20.5