In triangle XYZ , m angle cap z is greater than m angle cap x plus m angle cap y Which must be true about triangle XYZ ?

The angles in a triangle add to 180°, so m∠x + m∠y + m∠z = 180°. Since m∠z is greater than m∠x + m∠y, replacing m∠z with the smaller sum gives 2(m∠x + m∠y) < 180°, so m∠x + m∠y < 90°. Therefore, the sum of angles x and y is less than 90°, as stated in choice A.

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