Question

Find the measure of central $\angle 1.$

Short answer

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

Step-by-step solution

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 $85°.$