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1. what is the sum of the exterior angles of a convex polygon?

a. 360. < choice

b. 180(n – 2)

c. 180

d. 360n

2. what is the measure of each exterior angle in a regular 10-sided polygon?

18°

180°

360°

36° < choice

3. if each exterior angle or a regular polygon measures 15°, how many sides does the polygon have?

a. 20

b. 22

c. 24 < choice

d. 26

4. the exterior angles of a triangle measure x°, (2x)°, and (3x)°. what is the value of x?

a. 60< choice

b. 72

c. 30

d. 45

5. the exterior angles of an octagon are 42°, 55°, 39°, 20°, 62°, 45°, and 47°. what is the measure of the eighth exterior angle? show equations and all work that leads to your answer.

360 = 42 + 55 + 39 + 20 + 62 + 45 + 47 + x
360 = 310 + x

360 - 310 = 310 - 310 + x

50 = x

x = 50

Part 1) Option A

Part 2)

Part 3) Option C

Part 4) option A

Part 5)

Step-by-step explanation:

Part 1) What is the sum of the exterior angles of a convex polygon?

we know that

The Exterior Angle Sum Theorem states that the exterior angles of any polygon will always add up to degrees

therefore

the answer part 1) is

Part 2) What is the measure of each exterior angle in a regular -sided polygon?

we know that

The sum of the exterior angles of any polygon will always add up to degrees

Let

x-----> the measure of each exterior angle in a regular -sided polygon

we have that

solve for x

Part 3) If each exterior angle or a regular polygon measures , how many sides does the polygon have?

Let

x-----> the number of sides of the polygon

we have that

solve for x

Part 4) The exterior angles of a triangle measure x°, (2x)°, and (3x)°. What is the value of x?

Remember that

The sum of the exterior angles of any polygon will always add up to degrees

so

solve for x

Part 5) The exterior angles of an octagon are 42°, 55°, 39°, 20°, 62°, 45°, and 47°. What is the measure of the eighth exterior angle?

Let

x-----> the measure of the eight exterior angle of the octagon

Remember that

The sum of the exterior angles of any polygon will always add up to degrees

we have that

solve for x

3rd box is the answer

step-by-step explanation:

answer: a

step-by-step explanation: