Chapter 9.3, Problem 10WE

To determine

To complete: the given table.

Answer to Problem 10WE

$marcCB$	60	70	56	155	$180-x$
$m\angle 1$	60	70	56	155	$180-x$
$m\angle 2$	120	110	124	25	$x$

Explanation of Solution

Given Information:

Given table,

$marcCB$	60	70
$m\angle 1$			56
$m\angle 2$				25	$x$

Calculation:

It shows a circle with points, $A,B$ and $C$ and with $\angle 1$ and $\angle 2$ .

It is required to complete the table with the required values.

The arcs in a semicircle together make an angle of $180°$ .

So, if one angle is $\angle 1$ , other angle will be.

  $180°-\angle 1$

And measure of minor arc is same as the measure of its central angle.

Based on the above rules and the filled in values given in the table, the final completed table will be,

$marcCB$	60	70	56	155	$180-x$
$m\angle 1$	60	70	56	155	$180-x$
$m\angle 2$	120	110	124	25	$x$