m∠X + m∠Y < 90° is true.
XYZ is a triangle.
We have to find the option that is true about △XYZ.
By angle sum property of a triangle,
The sum of all the interior angles of a triangle is always equal to 180°.
So, ∠X + ∠Y + ∠Z = 180°
Given, m∠Z > m∠X + m∠Y.
This implies that ∠Z is greater than the sum of the angles ∠X and ∠Y.
so, ∠X + ∠Y must be less than 90°.
Hence, we can say that ∠X + ∠Y < 90°
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Answer: Option 4 or D. m∠X + m∠Y < 90°
Step-by-step explanation: Trust Me!
In triangle XYZ, m∠Z > m∠X + m∠Y. Which must be true about △XYZ?
D. m∠X + m∠Y < 90°
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