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

Answer:

• D. m∠X + m∠Y < 90°

Step-by-step 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

Answer 2

Answer:

Option D

as <Z is> <X+<Y

<X+<Z>90°

• A is false

<Y <90°

• B is false

<X + <Y is ≠90° so they can't be complementary

• D is correct