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Which of the following statements is TRUE about parallel lines pq and rs?
a.) a° and c° are vertical angles

b.) a° and c° are alternate interior angles

c.) a° and c° are alternate exterior angles

d.) a° and c° are corresponding angles

b.) a° and c° are alternate interior angles

d.) a° and c° are corresponding angles

Step-by-step explanation:

b.) a° and c° are alternate interior angles

d.) a° and c° are corresponding angles

are the TRUE statements.

The answer to your question is the letter b.

Step-by-step explanation:

a) The first option is incorrect, vertical angles are in contact by their Vertex, this does not happen hear.

b) This option is correct, a° and c° are alternate interior angles because they are in the same line but one on the right and the other on the left.

c) This option is incorrect they are not exterior angles.

d) This option is no correct, they are not corresponding angles. Example of corresponding angles are a° and b°.

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq