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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°

Respuesta :

FLORC
since z is GREATER THAN two angles in the triangle it must be obtuse..
meaning it is GREATER THAN 90 degrees this means that the other two angles cannot equal 90 degrees they have to be less

m∠X + m∠Y < 90°

Answer:

D)m∠X + m∠Y < 90°

Step-by-step explanation:

Given: In triangle XYZ, m∠Z > m∠X + m∠Y.

In a triangle the sum of the interior angles is 180 degrees.

m∠Z is greater than the sum of the angles X and Y.

Two angles cannot be equal to or greater than 90 degrees because the sum of the angles exceeds 180 degrees.

Therefore, the sum of the angles X and Y must be less 90 degrees.

So, answer is D)m∠X + m∠Y < 90°

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