Suppose that ∠ABC and ∠DEF are both supplementary to ∠XYZ, and ∠XYZ is a right angle. Name all of the remaining right angles.

Question

Suppose that ∠ABC and ∠DEF are both supplementary to ∠XYZ, and ∠XYZ is a right angle. Name all of the remaining right angles.

A. Both ∠ABC and ∠DEF are right angles.
B. Only ∠ABC is a right angle
C. Only ∠DEF is a right angle.
D. Neither ∠ABC nor ∠DEF is a right angle.

Answer 1

A. Both ∠ABC and ∠DEF are right angles.

Answer 2

Since ∠XYZ is a right angle, it measures 90 degrees.

If ∠ABC and ∠DEF are both supplementary to ∠XYZ, it means that their sum is also 90 degrees.

However, the question does not provide any information about the measures of ∠ABC and ∠DEF. Therefore, we cannot determine if either, both, or neither of them are right angles.

So, the correct answer is D. Neither ∠ABC nor ∠DEF is necessarily a right angle.