Chapter 9.5, Problem 5MRE

To determine

To express: $marcQLM$ in terms of $x$ .

Answer to Problem 5MRE

The measure of a major arc $QLM$ is $marcQLM=360°-x$ .

Explanation of Solution

Given information:

Given figure,

If $marcMQ=x$ ,

Calculation:

$arcMQ$ is minor arc of the given circle and $arcQLM$ is its major arc.

The measure of minor arc is $marcMQ$ .

As given in the problem:

  $marcMQ=x$

The measure of a major arc $QLM$ is $360°$ minus of its minor arc. That is,

  $\begin{array}{c}marcQLM=360°-marcMQ\\ =360°-x\end{array}$

Therefore, the measure of a major arc $QLM$ is $marcQLM=360°-x$ .