[tex] \huge \rm \color{red}help \: pls[/tex]

Choises :

• 1260°

• (n-2) × 180°

• 360°

• (n- 2)×180°
----------------
n

• 180°

•30m

1. YOU ARE ASKED TO FIND THE SUM OF THE MEASURES OF THE EXTERIOR ANGLES OF A DECAGON, WHAT DO YOU THINK IS THE TOTAL MEASUREMENT OF THE EXTERIOR ANGLES OF A DECAGON? ___

2. NINA IS CONFUSED ON WHAT FORMULA SHE WILL USE TO FIND THE MEASURES OF EACH INTERIOR ANGLE OF AN OCTAGON, CAN YOU GIVE HER THE APPROPRIATE FORMULA TO USE?

3. VINCE WANTS TO BUILD A REGULAR HEXAGON PLAYGROUND IN HIS GARDEN. HOW MUCH FENCING HE WILL NEED TO BUY IF EACH SIDE MEASURES 5M? _

4. THE SURFACE OF A WARNING SIGN IS IN THE SHAPE OF A REGULAR TRIANGLE. WHAT IS THE SUM OF THE INTERIOR ANGLE OF THE SIGN?
_

5. LOU IS TRYING TO FIND OUT WHAT IS THE SUM OF ALL THE INTERIOR ANGLES OF A PENTAGON, WHAT IS THE APPROPRIATE FORMULA TO USE?
______

A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.

We have:

Decagon, in which the number of sides is 10

The formula for the sum of the interior angles in n number of polygon:

Sum = 180(n - 2)

Plug n = 10

Sum = 180(10-2)

Sum = 1440

Each interior angle = 1440/10 = 144 degree

Each exterior angle = 180 – 144 = 36 degree

The sum of the exterior angles = 36×10 = 360 degree

Similarly, we can find any angle measure for interior or exterior by using the formula:

Sum = 180(n—2)

Where n is the number of sides.

Thus, the sum of the exterior angles of a decagon is 360 degree if each exterior angle measure is 36 degree.

Learn more about the regular polygon here:

brainly.com/question/11810316

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