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
omeli [17]
2 years ago
12

The measure of one interior angle of a regular polygon is two times the measure of one of its exterior angles. How many sides do

es this polygon have?
Mathematics
1 answer:
ivann1987 [24]2 years ago
6 0

Answer:

6 sides

Step-by-step explanation:

The measure of one interior angle of a regular polygon is two times the measure of one of its exterior angles. How many sides does this polygon have?

Let us represent:

Sum of Exterior angle as x

Sum of Interior angle as y

Note that:

The sum of the exterior angles of a polygon = 180 - The sum of the interior angles

Hence,

The sum of the exterior angles of a polygon + The sum of the interior angles = 180

x + y = 180

The measure of one interior angle of a regular polygon is two times the measure of one of its exterior angles.

2x = y

Substituting

x + 2x = 180°

3x = 180°

x = 180/3

x = 60°

Solving for y

2x = y

2 × 60° = y

120° = y

Hence,

Sum of Exterior angle as x = 60°

Sum of Interior angle as y = 120°

The number of sides of a polygon is

360°÷ Sum of Exterior angles

= 360° ÷ 60

= 6 sides

You might be interested in
The graph of a quadratic polynomial intersects x-axis at the points (-4, 0) and (5, 0). Find
Setler79 [48]

Answer:

Quadratic polynomial is x^2 - x - 20

3 0
1 year ago
How do i solve this?
ss7ja [257]

Answer:

O

Step-by-step explanation:

8 0
3 years ago
What’s the slope of 7x +3y=12
Y_Kistochka [10]

Answer:it is 34

And that's it

5 0
3 years ago
Find the surface area for the following figures PLease help
Yakvenalex [24]

Answer:

RP=190

TP=136

C=1,099

Step-by-step explanation:

RECTANGULAR PRISM, the equation is A=2(wl+hl+hw)

A=5*5+7*5+7*5

A=25+35+35

A=95*2

A=190

TRIANGULAR PRISM, the equation is A=1/2bh for the top and bottom triangles and A=lw for the sides

A=1/2(6)(4)

A=1/2*24

A=12

A=7*5

A=35

A=7*6

A=42

12*2=24

35*2=70

24+70+42=136

CYLINDER, the equation is A=2πrh+2πr2

A=2*3.14(7)(18)+2*3.14(7)^2

A=6.28*126+6.28*49

A=791.28+307.72

A=1,099

5 0
2 years ago
What is 17.693 written in expanded form
ira [324]
10 +7 + 0.6+ 0.09+ 0.003



hope this helped
5 0
3 years ago
Read 2 more answers
Other questions:
  • Lol i need help soemone halp
    12·1 answer
  • What is the area of this figure. <br><br><br> 128 in<br> 136 in<br> 153 in<br> 258 in
    10·1 answer
  • The gasoline gauge on a van initially read one fourth14 full. when 1010 gallons were added to the​ tank, the gauge read two thir
    5·1 answer
  • Simplify the expression . 39*x / 13
    8·2 answers
  • Given the following equation of an exponential function determine the decay rate.
    6·1 answer
  • Stacy and Travis are rock climbing. Stacy's rope is 4 feet shorter than 3 times the length of Travis' rope. Stacy's rope is 23 f
    14·1 answer
  • Drag one or more expressions into each box to
    12·1 answer
  • I need help with this :( will mark brainliest
    12·1 answer
  • PLEASE HELP!!! Complete the equation of the line through (4, - 8) and (8, 5) Use exact numbers. y =
    8·1 answer
  • You go shopping at Target and buy a board game...yes a board game. It cost $21.65. There is a 9% sales tax. What is the total
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!