Question

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.

Answer 1

1. Square.

2. Equilateral Triangle

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

Answer 2

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

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

`(720)/(5)=108`

Hence option b is right