Question

Triangle ABC and Triangle XYZ are similar. If angle A=30 and angle B=45, what can you conclude?

A. Triangle XYZ is acute.

B. Triangle XYZ is isosceles.

C. Triangle XYZ is right.

D. Triangle XYZ is obtuse.

Answer 1

The given angles sum to less than 90°, so the remaining angle must be more than 90°. (The total of all angles is 180°.) Triangle ABC has an angle greater than 90°, so is obtuse. Since the triangles are similar, their corresponding angles are congruent. Hence ...

.. D. Triangle XYZ is obtuse.