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## Question:

What is the measure of ∠B?

## Answer:

You can use exterior angles and the fact that sum of exterior angles of a polygon is of 360 degrees.

The measurement of angle B is given by:

Option B:

### What is exterior angle in a polygon?

In a polygon, every pair of two **adjacent **sides make an angle. This is called **interior angle**. If you extend one of the side outwards, then the angle made outside by that extended side with another **side **outside of the polygon is called exterior angle.

Since both exterior angle and interior angle fill up a **straight line**, thus they are **supplementary angles **(one angle is 180 degree – another angle)

### What is the sum of exterior angles of a polygon?

The sum of all **exterior angles **of a polygon is

A **polygon **is just a closed figure made up with straight line segments joined end to end.

Using the above fact, we have:

Summing them,

Thus, the interior angle on B is of

Thus, the measurement of **angle** B is given by:

Learn more about **angles **of **polygon **here:

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