The following figure is not drawn to scale. Using complete sentences, describe how angle relationships can be used to find the value of x in this figure. Then, find the value of x, showing all of your work.

Using complete sentences, describe how angle relationships can be used to find the value of y in this figure. Then, find the value of y, showing all of your work.

The triangle angle rule says that all of the angles in a triangle will add up to equal 180. So to find x we subtract the given angles ( 45 and 60 in this case) from 180.

x = 180-60-45

180-60-45=75

so x = 75

To find y we know that angle x and and y are angles formed on a straight line that are split up by a triangle segment. These angles are called supplementary angles which add up to equal 180.

So knowing that angle x = 75 we can find angle y by subtracting 75 from 180

180-75=105 so y = 105

Another way we could solve for y is the exterior triangle rule

This rule states that an exterior angle of a triangle is equal to the two opposite interior angles

so y = 45 + 65

45 + 65=105

so y = 105

Step-by-step explanation:

The triangle angle rule says that all of the angles in a triangle will add up to equal 180. So to find x we subtract the given angles from 180.

x = 180-60-45

180-60-45=75

so x = 75

To find y we know that angle x and y are angles formed on a straight line that is split up by a triangle segment. These angles are called supplementary angles which add up to equal 180.

So knowing that angle x = 75 we can find angle y by subtracting 75 from 180

180-75=105 so y = 180

Another way we could solve for y is the exterior triangle rule

This rule states that an exterior angle of a triangle is equal to the two opposite interior angles

so y = 45 + 65

45 + 65=105 so y = 105