Question

In triangle XYZ, mZZ > mZX + mZY. Which must be true about AXYZ?

mZX + m2Z < 90°
mZY > 90°
ZX and Y are complementary
mZX + mZY < 90°

Answer 1

• D. m∠X + m∠Y < 90°

Explanation:

Given

• ΔXYZ with m∠Z > m∠X + m∠Y

Options

m∠X + m∠Z < 90°

• incorrect, the sum of these two angles should be > 90°

m∠Y > 90°

• incorrect, it should be < 90°

∠X and ∠Y are complementary

• incorrect as angle Z is greater that the sum of angles X and Y, then sum of three angles would be greater than 180°

m∠X + m∠Y < 90°

• correct, this is the only possible option