In triangle XYZ, m∠Z > m∠X + m∠Y. Which must be true about △XYZ?

m∠X + m∠Z < 90°

m∠Y > 90°

∠X and∠Y are complementary

m∠X + m∠Y < 90°

Question

Mathematics

Lilyana Mendoza

23 November, 05:10

In triangle XYZ, m∠Z > m∠X + m∠Y. Which must be true about △XYZ?

m∠X + m∠Z < 90°

m∠Y > 90°

∠X and∠Y are complementary

m∠X + m∠Y < 90°

+4

Answers (1)

Know the Answer?

Tequila · Answer 1

M∠Z > m∠X + m∠Y

m∠X + m∠Y + m∠Z = 180°

m∠X + m∠Y = 180° - m∠Z

m∠Z > 180° - m∠Z

2 m∠Z > 180° / : 2

m∠Z > 90° (A, B and C are not possible)

Answer:

D) m∠X + m∠Y < 90°

In triangle XYZ, m∠Z > m∠X + m∠Y. Which must be true about △XYZ?m∠X + m∠Z < 90°m∠Y > 90°∠X and∠Y are complementarym∠X + m∠Y < 90°

In triangle XYZ, m∠Z > m∠X + m∠Y. Which must be true about △XYZ?

m∠X + m∠Z < 90°

m∠Y > 90°

∠X and∠Y are complementary

m∠X + m∠Y < 90°