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Chapter 9: Q4. (page 341)

Find the measure of central ∠1.

Short Answer

Expert verified

The measure of angle ∠1 is 50°.

Step by step solution

01

Step 1. Given information:

The given figure is,

02

Step 2. Concept used:

In the circle the measure of arc is given.

Opposite angles are equal and the arc is equal to the angle that is asked.

03

Step 3. Applying the concept:

Here, we can see that in the figure.

Since both are vertically opposite angle so

Measure of arc=180∘−130∘=50∘

As we know,

∠1= measure of arc

=50°

Therefore, the measure of the angle ∠1 is 50°.

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