Question

Find the values of x,y, and z. The diagram is not to scale.

A. x = 86, y = 94, z = 75
B. x = 86, y = 75, z = 94
C. x = 75, y = 94, z = 86
D. x = 75, y = 86, z = 94

Answer 1

All the angles must add to 180degrees in a triangle.

180 = 59 + 35 + x
180 = 94 + x
86 = x

Supplementary angles x and z add to 180
180 = x + z
180 = 86 + z
94 = z

Now the last triangle is with angles 11, z, and y
they must add to 180 so...
180 = 11 + z + y
180 = 11 + 94 + y
180 = 105 + y
75 = y

Hope this helps!