Question

Determine the measures of angles X, Y, and Z

Answer 1

See below

Explanation:

Use triangle on the right to find x

x + 100 + 60 = 180

( since all of the interior angles of a triangle sum to 180)

then x = 20°

Use left triangle to find y

55 + 80 + y = 180

y = 45°

then use the small middle triangle to find z

x + y + z = 180

45 + 20 + z = 180 z = 115 °