Question

Solve for Angles X&Y.
m PLS HELP AND SHOW UR WORK. WILL GIVE BRAINLIEST!

Answer 1

Answer:

x=68 y=112

Step-by-step explanation:

to find the total amount of degrees in this polygon, use the equation

(n-2)x180, where n is the amount of sides the shape has.

(8-2)x180=6x180=1080 degrees in total

take this number and subtract each of the interior angles in order to find the leftover degree for the y angle.

1080-100-172-108-150-111-162-165=112

y=112

to find x, you can see that y and x are supplementary angles, meaning that their sum is 180. subtract 180 and 112 to find the value of x.

180-112=68

x=68

hope this helps!

Answer 2

Answer:

y = 112 and x = 68

Step-by-step explanation:

the above figure is of irregular octagon.

the sum of interior angles of an octagon is 1080 degrees.

therefore, y + 150 + 111 + 162 + 165 + 100 + 172 + 108 + 150 = 1080 degrees.

y = 1080 - 150 + 111+ 162 + 165 + 100 + 172 + 108 + 150

y = 112 degrees. ( by calculations)

angles x and y a are in linear pairs.

therefore, x + y = 180 degrees

therefore by substituting y = 112 we get

x + 112 = 180

x = 180 - 112

x = 68 degrees.