Q5. - Geometry

Question

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

 $\stackrel{⏜}{BAD}$

Step-by-Step Solution

Answer

The measure of an arc $\stackrel{⏜}{BAD}$ 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

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

       Since 

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

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