Question

1. which reason is the justification for the statement that angle a ≅ angle b? vertical angles are congruent. lines intersect at one point. linear angles are equal. intersecting lines form opposing angles.

Explanation:

Vertical angles are formed when two lines intersect. They are opposite each other and have equal measures. In the given figure, angle A and angle B are vertical angles. The statement "Lines intersect at one point" only describes the intersection of lines but doesn't justify the congruence of angles. "Linear angles are equal" is incorrect as linear angles are supplementary (sum to 180°). "Intersecting lines form opposing angles" is too vague. The key property that justifies angle A ≅ angle B is that vertical angles are congruent.

Answer:

Vertical angles are congruent.