Question

what is the measure of each interior angle of a regular pentagon?

select one:
a. \\(72^\circ\\)
b. \\(144^\circ\\)
c. \\(108^\circ\\)
d. \\(120^\circ\\)

a regular polygon has an interior angle measuring \\(150^\circ\\). how many sides does it have?

select one:
a. 10
b. 15
c. 12
d. 18

the sum of the exterior angles of any polygon is always:

select one:
a. \\(360^\circ\\)
b. \\(270^\circ\\)
c. \\(180^\circ\\)
d. \\(540^\circ\\)

Explanation:

Calculate the interior angle of a regular pentagon

$$
LATEXBLOCK0
$$

Determine the number of sides for an interior angle of 150 degrees

$$
LATEXBLOCK1
$$

Identify the sum of the exterior angles of any polygon

$$ \text{Sum of exterior angles} = 360^\circ $$

Answer:

Question 1

• a. \(72^\circ\)
• b. \(144^\circ\)
• c. \(108^\circ\) (Correct answer)
• d. \(120^\circ\)

Question 2

• a. 10
• b. 15
• c. 12 (Correct answer)
• d. 18

Question 3

• a. \(360^\circ\) (Correct answer)
• b. \(270^\circ\)
• c. \(180^\circ\)
• d. \(540^\circ\)