Chapter 9.5, Problem 11CE

To determine

To complete the theorem associated with the given figure.

Answer to Problem 11CE

The measure of the angles is;

  $marcAB=2n°$

And,

  $marcCD=2n°$

Explanation of Solution

Given information:

Given figure,

In the given figure

  $m\angle AKB=m\angle CKD=n$

And

$marc\left(AB\right)=\_\_\_\_$ and $marc\left(CD\right)=\_\_\_\_$

Calculation:

Consider the following theorem:

The measure of an inscribed angle is equal to half the measure of its intercepted arc.

Hence, $marcAB=2n°$

And,

  $marcCD=2n°$