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Angles Theorems and Polygons Quiz!!

Total questions: 14

Worksheet time: 13mins

Name
Class
Date
1.

What is the formula used to find the sum of the interior angles in a polygon? (n = number of sides)

a)

 360 (n2)360\ (n-2) 

b)

 180 (n2)180\ (n-2) 

c)

180+(n2)180+(n-2)

d)

180 × n180\ \times\ n

2.
What is the SUM of the angle measures in a triangle (3 sides)?
a)
60°
b)
90°
c)
120°
d)
180°
3.

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

a)

180180

b)

Depends on the polygon

c)

360 n360\ -\ n

d)

360360

4.
What is the SUM of the angle measures in a hexagon (6 sides)?
a)
720°
b)
1080°
c)
600°
d)
540°
5.

What is the formula used to find the sum of the interior angles in a REGULAR polygon? ( n = number of sides )

a)

180 (n2)180\ (n-2)

b)

360 n\frac{360\ }{n}

c)

180 (n 2)n\frac{180\ \left(n\ -\ 2\right)}{n}

d)

180n\frac{180}{n}

6.

Find the measure of the missing angle.

a)

90

b)

10

c)

130

d)

50

7.

What answers listed are correct in regards to the shape and the sum of their interior angles?

a)

heptagon = 900

b)

quadrilateral = 360

c)

hexagon = 540

d)

octagon = 1080

e)

all of the above

8.

What is the formula used to find the sum of the exterior angles in a REGULAR polygon? ( n = number of sides )

a)

360n\frac{360}{n}

b)

360 (n +2)360\ -\ \left(n\ +2\right)

c)

n360\frac{n}{360}

d)

180 + n180\ +\ n

9.

If I have a triangle that has an angle of 20 degrees and a right angle, what is the degree of my third and final angle?

a)

undefined

b)

180

c)

70

d)

80

10.

Solve for x



(a)  

11.

Solve for x using your angle theorem equations

(a)  

12.

How with LINES can you find the amount of triangles in a polygon?

4 lines
13.

CHALLENGE QUESTION (but really it's not as challenging as you think): What is the sum of the interior angles of a triacontagon? (30 sided polygon)

(a)  

14.

What do you think is the hardest angle theorem to remember?

a)

Sum of the interior angles in a polygon = 180 (n - 2)

b)

Sum of the exterior angles in a polygon = 360

c)

Sum of the interior angles in a REGULAR polygon =

180 (n 2)n\frac{180\ \left(n\ -\ 2\right)}{n}

d)

Sum of the exterior angles in a REGULAR polygon = 360n\frac{360}{n}