Question

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°

Answer 1

m<Z .> m<X + m<Y means that m<Z must be greater than 90 degrees.
That means m<X + m<Y < 90 beacuse there are only 180 degrees in any triangle.

The last choice is the correct one.

Answer 2

Option D is the answer : m∠X + m∠Y < 90°

Explanation:

Given is :

In triangle XYZ, m∠Z > m∠X + m∠Y

This means ∠Z is greater than the sum of angles X and Y. X, Y and Z all sums up to become 180 degrees.

So, the option that is correct here, is option D.

m∠X + m∠Y < 90°

The option that is true about △XYZ is : m∠X + m∠Y < 90°