Question

Triangle XYZ is a right triangle with the right angle at vertex Y.

Angle X must be ____ .
Angle Z must be ____.
The sum of angles X and Z must be ____ 90°.

Answer 1

ANSWERS TO EDQUITY:
ACUTE
ACUTE
EQUAL TO

Answer 2

Angle X must be Acute.

Angle Z must be Acute.

The sum of angles X and Z must be equal to 90°.

Explanation:

Triangle XYZ is a right triangle with the right angle at vertex Y

∠Y=90°

We have two more angle of triangle ∠X and ∠Z

∠X+∠Y+∠Z=180° (Angle Sum property of triangle)

∠X+∠Z=180° -90° (∠Y=90°)

∠X+∠Z=90°

If sum of two angle is 90° then ∠X and ∠Z must be acute angle.

Therefore,

Angle X must be Acute.

Angle Z must be Acute.

The sum of angles X and Z must be equal to 90°