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Chapter 3: Q11 (page 104)

The face of a honeycomb consists of interlocking regular hexagons. What is the measure of each angle of these hexagons?

Short Answer

Expert verified

The measure of each angle of these hexagons is 120°.

Step by step solution

01

Step 1. Write the formula for measure of each interior angles for regular polygon.

The formula for measure of each interior angles for regular polygon with sides is n-2180n.

02

Step 2. Find the value of n.

The number of sides in a hexagon is 6

Therefore, the value of n is 6

03

Step 3. Find the value of measure of each interior angles for regular polygon.

The measure of each interior angle for regular polygon with 6 sides is given by:

6−21806=4×1806=4×30=120

Therefore, the measure of each interior angle for regular hexagon is 120°.

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