Question

Find the missing angle measures. The diagram is not to scale

Answer 1

http://media.education2020.com/EVresources/647-03-04-00-00_files/i0130000.jpg

Answer 2

Can you figure out y?

Answer 3

no.. i really suck at math lol

Answer 4

Look at the angle of 124 degrees. What is the relationship between that angle and angle y?

Answer 5

theyre horizontall

Answer 6

Right, they form a line. Two angles that form a line, like those two angles, are called a linear pair, and their measures add up to 180 degrees. Now you have an angle of 124 deg. You have a total of 180 deg. What is the measure of y?

Answer 7

125?

Answer 8

No.
124 + 125 is not 180
You need a number that when you add to 124 you get 180.

Answer 9

ohh 56!

Answer 10

Right.
Now we only have one more unknown to find, x.

Answer 11

You have a 4-sided polygon, called a quadrilateral.
We know three of the measures of its interior angles: 56, 65, 125.
We want to find the only one we don't know which we call x.

Answer 12

In a polygon with n sides, the sum of the merasures of the interior angles is given by a simple formula: (n - 2)*180. The sum of the measures of the interior angles of a polygon is calculated by subtracting 2 from the number of sides and multiplying that number by 180.

Answer 13

This polygon has 4 sides.
Subtract 2 from 4, and get 2.
Multiply 2 by 180 and get 360.
This means that the sum of the measures of the angles of this polygon is 360.
x + 56 + 65 + 125 = 360
We need to find x.

Answer 14

To solve that equation, start by adding the numbers 56, 65, and 125.

Answer 15

144

Answer 16

x + 246 = 360
x = 114

Answer 17

oh i mean 114 thank you so much! you really are a good teacher. I got how you did this now that you told me

Answer 18

You're welcome. I'm glad to be of help.