Question

In ∆XYZ, m∠Y = 90^°. What kind of a pair do ∠X and ∠Z make?

Answer 1

In ∆XYZ,
∠X + ∠Y + ∠Z = 180^° (Angle Sum property of triangle
⇒ ∠X + 90^° + ∠Z = 180^°
⇒ ∠X + ∠Z = 90^°
Since, the sum of the measure of the two angles is 90^°.
Hence, ∠X and ∠Z are complementary angles.