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
AfilCa [17]
3 years ago
8

How do I solve for y?

Mathematics
1 answer:
vivado [14]3 years ago
7 0
Short Answer: y = 36°
Remark
What an interesting question!! The first thing you have to do is find out what the interior angle of a regular pentagon is. After you have done that, you can calculate y.

Method.
The exterior angles of a regular figure add up to 360°. 

Step One

Find out the size of the exterior angles of a  regular pentagon. 
There are 5 such angles. They add up to 360°

5x = 360  Divide by 5
x = 360 / 5
x = 72°

Step Two
Find out the value of the interior angles of a pentagon.

Method
The interior and exterior angles add up to 180°
Exterior Angle + Interior Angle = 180°
Exterior angle = 72 degrees
72° + Interior Angle = 180°                  Subtract 72 from both sides.
Interior Angle = 180° - 72° 
Interior Angle = 108°

Step Three
Solve for y.

There are 3 tiles each with an angle of 108° that are placed together. So y + 3 interior angles = 360°

y + 3*interior angles = 360°
y + 3*108 = 360 
y + 324 = 360 Subtract 324 from both sides.
y = 360 - 324
y = 36°

You might be interested in
HELP PLEASE DEADLINE
ELEN [110]

Reason 1: Given.

Reason 2: Vertical angles

Reason 3: Angle, Side, Angle(ASA)

8 0
2 years ago
Find the GCF of 6x+4 and divide
ella [17]
The GCF is 2
Merry Christmas
4 0
3 years ago
Find the volume. Round to the nearest tenth.<br> 20m<br> 5 m<br> 18 m
Thepotemich [5.8K]
The answer is 1800 because you have to follow the formula for volume which is
Volume=Length x Width x Height
1800= 18m x 5m x 20m
5 0
3 years ago
What is the point that passes through the line Y-5=-3(x-4)
ioda
The point that passes through the line Y-5=-3(x-4) is (-4,7). You are very welcome.
5 0
2 years ago
Find the total surface area of the triangular pyramid
Vlada [557]
The answer is C- 99.5ft :)
5 0
2 years ago
Other questions:
  • Simplify the following expression.<br><br> 99 - 3[15 - (2 + 1)]
    8·2 answers
  • Y + 0.5xy = x + 2; x = 1<br> How do you solve for y
    11·1 answer
  • At a gas station where people can pay in cash or by credit card, 20% of people pay by credit card and 80% of people pay cash. A
    13·2 answers
  • Triangle ABC is dilated to produce triangle A'B'C' with scale factor 3/4. which describes the relationship between the two trian
    11·1 answer
  • What is the slop of AB?????????????
    8·1 answer
  • A circular disc has a diameter of 24 cm. What is the area of the disc?
    9·1 answer
  • 1. The temperature changes
    7·1 answer
  • (ASAPPP) The position of an object at time t is given by s(t) = -2 - 6t. Find the instantaneous velocity at t = 2 by finding the
    13·1 answer
  • 5y-21=14<br><br>please help me I need the full method ​
    14·1 answer
  • Help look at screenshot
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!