Find the unknown angle

x = 35 degrees

y = 70 degrees

z = 75 degrees

Step-by-step explanation:

X will equal 35 degrees because that angle is vertical to the 35 degree angle, which means they are equal.

To find the measure of angle z, subtract the outside angle from 180:

180 - 105 = 75

To find the measure of angle y, add the two other known angles of the triangle and subtract that from 180:

35 + 75 = 110

180 - 110 = 70

x = 35, y=75, z=70

Step-by-step explanation:

I dont know which angle you wanted exactly. However x is equal to 35 (I'm sorry, I forgot the name of the rule that makes that way, I assume it's in your notes if this is for a class). Z is equal to 75 because a straight line(the one on the bottom) is equal to 180 degrees. Since you have an angle on that line already (105), just subtract 180-105 to get 75.

Lastly, since we have x and z now, we can add them and subtract from 180(the degree in a triangle. So 35+75 = 110 and 180-110 = 70.