Question

if ∠x + ∠z = 90° and ∠y + ∠z = 90°, what can you conclude about ∠x and ∠y?

Explanation:

Step1: Express ∠X in terms of ∠Z

Given ∠X + ∠Z = 90°, we can get ∠X=90° - ∠Z.

Step2: Express ∠Y in terms of ∠Z

Given ∠Y + ∠Z = 90°, we can get ∠Y=90° - ∠Z.

Step3: Compare ∠X and ∠Y

Since ∠X = 90° - ∠Z and ∠Y = 90° - ∠Z, then ∠X = ∠Y.

Answer:

∠X = ∠Y