Which of the following statements is true?Select one of the options below as your answer:A. A 25o angle is congruent to a 25o angle. B. Two intersecting lines form two pairs of congruent angles. C. It is possible for congruent angles to add up to 90o. D. All of the above are true.
Answer: D.
To determine which statement is true, let's analyze each option:
A. A 25° angle is congruent to a 25° angle.
This statement is true because congruent angles have the same measure. Therefore, an angle with a measure of 25° is congruent to another angle with the same measure of 25°.
B. Two intersecting lines form two pairs of congruent angles.
This statement is also true. When two straight lines intersect (intersecting lines), they form four angles at the intersection point. These angles are known as vertical angles, and each pair of vertical angles is congruent to each other.
C. It is possible for congruent angles to add up to 90°.
This statement is false. Congruent angles have the same measure, so if two angles are congruent, then each angle will have the same measure. If both angles are congruent and they add up to 90°, then each angle would have a measure of 45°, not different measures.
D. All of the above are true.
Since option A and option B are true, while option C is false, we cannot select option D as the correct answer.
Considering the above analysis, the correct answer is: A. A 25° angle is congruent to a 25° angle.