I need the answer and explain how to find corresponding angles

Option A:

∠TSU and ∠QPS are corresponding angles.

Solution:

Given OQ and RT are parallel lines.

To find which angles are corresponding angles.

Option A: ∠TSU and ∠QPS

They are on the same side of the parallel lines.

These are corresponding angles.

Option B: ∠OPS and ∠OPN

These are adjacent angles in a straight line.

It is not corresponding angles.

Option C: ∠RSP and ∠QPS

These are alternate interior angles.

It is not corresponding angles.

Option D: ∠OPN and ∠TSP

These are alternate angles.

It is not corresponding angles.

Hence ∠TSU and ∠QPS are corresponding angles.

Option A is the correct answer.

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.