Question

which statement(s) is/are true?
a. a 25° angle is congruent to a 25° angle.
b. two intersecting lines form two pairs of congruent angles.
c. it is possible for congruent angles to add up to 90°.
d. all of the above are true.

Explanation:

Step1: Analyze option A

Congruent angles have equal measures. Since both angles are \(25^{\circ}\), they are congruent.

Step2: Analyze option B

When two lines intersect, vertical angles (opposite angles) are congruent. So, there are two pairs of congruent angles.

Step3: Analyze option C

For example, two \(45^{\circ}\) angles are congruent (\(45 = 45\)) and \(45+45=90^{\circ}\)

Answer:

D. All of the above are true.