Question

Which relationship is always correct for the angles x, y, and z of triangle ABC?

A. x + z= y
B. y + z = x
C. x + y + z = 180 degrees
D. x + y + z = 90 degrees

Answer 1

your answer is B. y+z=x.

Answer 2

Answer: B. y + z = x

Explanation:

Given: A triangle ABC in which
`\angle{B}` is labelled as 'y' and
`\angle{C}` is labelled as 'z' and x is an exterior angle to
`\angle{A}` .

We know that there is a property of triangles that the measure of exterior angle is equal to the the sum of the measure of the opposite interior angles.

Therefore, x=y+z

Thus, B. is the right answer.