1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jasenka [17]
2 years ago
12

The measure if an exterior angle of a regular polygon is given below find the measure of an interior angle then find the number

of sides
24​
Mathematics
1 answer:
zhuklara [117]2 years ago
5 0

Answer:

The measure of the interior angle is 156°

The polygon has 15 sides

Step-by-step explanation:

<em>Let us revise some facts in a polygon</em>

  • The sum of the exterior angles of any polygon is 360°
  • At each vertex of a polygon, the exterior and interior angles formed a pair of linear angles (The sum of their measures is 180°)
  • A regular polygon has equal angles and equal sides

<em>In our question </em>

∵ The measure of an exterior angle of a regular polygon = 24°

∵ The sum of measures of the interior angle and exterior angle at

   a vertex of a polygon is 180°

∴ The measure of the interior angle = 180° - 24°

∴ The measure of the interior angle = 156°

∵ The sum of the exterior angles of any polygon is 360°

∵ The polygon is regular (all angles are equal in measures)

∴ The measure of each exterior angle = 360° ÷ n, where n the

   number of its angles or sides

∴ 24° = 360°/n

→ Multiply both sides by n

∴ 24n = 360

→ Divide both sides by 24

∴ n = 15

∴ The polygon has 15 sides

You might be interested in
Which equation represents a nonlinear function?
Grace [21]

Answer:

B and C

Step-by-step explanation:

Linear functions are written in the format y=mx+b

If a function has an exponent it is nonlinear

6 0
3 years ago
What is the median of the following numbers 45,36,52,55,47, 39
Elena L [17]

Answer:

46

Step-by-step explanation:

By arranging the numbers from least to greatest, you can find the median by locating the central number in the data set.

8 0
2 years ago
Which of the following uses the distributive property correctly?
Mila [183]
Answer: A

You’re basically adding m - 2 nine times
So it’s 9m - 18
Or 9m - 9(2)
6 0
3 years ago
Read 2 more answers
The slope of the line whose equation is 3x - 2y = 4 is 2/3 3/2 -2
7nadin3 [17]

Answer:

3/2

Step-by-step explanation:

The equation 3x-2y=4 can be written in the form of y=mx+c where m is the slope and c is the y intercept.

Therefore

2y=3x-4 and dividing both sides by 2 to have y at the LHS

y=3/2x-2

Therefore, 3/2 represents the gradient/slope

6 0
2 years ago
What is the slope of the line that passes through (2,8); (0,3)​
kakasveta [241]
8 - 3 = 5 Slope formula numerator
2 - 0 = 2 Slope formula denominator

5/2 = 2.5
4 0
3 years ago
Read 2 more answers
Other questions:
  • It took Josh 1 1/2 hours to ride his bike 5 1/2 miles. What was Josh's speed on his bike?
    10·1 answer
  • X+y=7<br> -x+y=-5<br><br> Quero a equação pelo método de adição, rápido u.u
    10·1 answer
  • One case of books weighs 35 pounds. One case of magazines weighs 23 pounds.A book store wants to ship 72 cases of books and 94 c
    9·1 answer
  • (03.02 HC)Amy, Dan, and Mike are competing in a cooking competition. They all used different amounts of milk from a container ho
    7·2 answers
  • A investor has an account with stock from two different companies. Last year her stocking company A was worth $4600 in her stock
    8·1 answer
  • Jasper made 230 flyers for a dance. He handed two flyers out to each student. How many students received flyers
    13·1 answer
  • Nadia started at 19.26 feet below sea level and then changed her altitude by climbing a total of 5,437.8 feet up from her initia
    8·2 answers
  • What is the value of x enter your answer in the box
    5·2 answers
  • Wing figures, solve for x. Complete parts (a) 80° 53​
    15·1 answer
  • LOCKS SOON WILL GIVE BRAINLEST! 50 POINTS!!! For triangle xyz , the measures of angles x,y, and Z are known. Which method should
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!