brainiac6390
Answered

A polygon has an angle sum of 360°, and each angle measures 90°. What is the polygon?

A-Triangle

B-Regular octagon

C-Pentagon

D-Square

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Each angle measure of a regular polygon is 60°. What is the polygon?

square

quadrilateral

equilateral triangle

hexagon

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Select ALLthat apply.


Which of the following are true of a regular pentagon?

Each angle measure is 108°.

The angle sum is 720°.

It has six sides.

It is equilateral.

Verified Answer :

Jacaletto
  1. Square. 

    2. Equilateral Triangle

    3. Fact 1 (Each angle measure is 108°)
Cricetus

Answer:

1. Sqaure 2. Equialteral Triangle 3. Each angle is 108°

Step-by-step explanation:

Before we go ahead with this problem let us see the sum of all internal angles in various polygons.

a) Triangle : 180

b) Quadrilateral : 360

c) Pentagon : 540

d) Hexagon : 720

Now let us do each part

Part 1.

Polygon  sum is 360° , hence it is a quadrilateral . And each angle measures 90° , Hence it is either a square or a rectangle . Hence our answer from options is square

Part 2,

Measure of each angle of polygon is 60°.

60°3= 180°

60°4=240°

60°*5=300°

None of the above gives you a polygon except first . Hence our answer is an triangle and as every angle is equal is an equilateral triangle.

Part 3,

A regular pentagon has sum of its all interior angles is 720°. Total nos. of angle is 5 . Hence measurement of each angle will be

\(\frac{720}{5}=108\)

Hence option b is right