Q2. - Geometry

Question

Find  the measure of central $\angle 1.$

Step-by-Step Solution

Answer

a. The measure of angle $\angle 1$ is $80°.$

Step 1. Given information:

The given figure is,

Step 2. Concept used:

In the circle the angle of the circle can be calculated by subtracting the total angle of the circle by its given value.

Step 3. Applying the concept:

Here, we can see that in the figure.

Measure of arc,  

$\begin{array}{l}={360}^{\circ }-{280}^{\circ }\\ ={80}^{\circ }\end{array}$

  As we know,

   $\begin{array}{l}\angle 1=\\ \text{ =}{80}^{\circ }\end{array}$       measure of arc  

Therefore, the measure of the angle $\angle 1$ is $80°.$