Q6. - Geometry

Question

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

  $\stackrel{⏜}{CDA}$

Step-by-Step Solution

Answer

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

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 $230.$