Q1. - Geometry

Question

Find  the measure of central $\angle 1.$

Step-by-Step Solution

Answer

The measure of angle $\angle 1$ is $85°.$

Step 1. Given information:

The given figure is,

Step 2. Concept used:

In the circle the measure that is given is equals to the central angle that is asked.

Step 3. Applying the concept:

Here, we can see that in the figure

  As we know,

$\begin{array}{l}\angle 1=\\ \text{ =}{85}^{\circ }\end{array}$measure of arc  

Therefore, the measure of the angle $\angle 1$ is $85°.$