Question

In exercises $2-7$ find the measure of the arc.

$\stackrel{⏜}{CDA}$

Short answer

The measure of an arc $\stackrel{⏜}{CDA}$ is $230.$

Step-by-step solution

Step 1. Given information:

The given figure is,

Step 2. Concept used:

Following properties are used here,

The arc length of a circle can be calculated with the radius and central angle.

Step 3. Applying the concept:

Here, in the figure

$\begin{array}{l}\angle CDA={360}^{\circ }-\angle ABC\\ {\text{=360}}^{\circ }-{130}^{\circ }\\ \text{=23}{0}^{\circ }\end{array}$

Since

$\begin{array}{l}m\stackrel{⏜}{CDA}=m\angle CDA\\ \text{=230}\end{array}$

Therefore, the measure of arc $CDA$ is $230.$