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Q2.

Expert-verifiedFound in: Page 341

Book edition
Student Edition

Author(s)
Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

Pages
227 pages

ISBN
9780395977279

**Find the measure of central $\angle 1.$**

**a. **The measure of angle $\angle 1$ is $80\xb0.$

The given figure is,

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

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 $80\xb0.$

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