Supplementary angles are congruent. always. Opposite rays are collinear rays with a common endpoint and extend in the same direction. 1 See answer zuziolacamons is waiting for your help. Theorems are reversible. Check it out! Key Terms These angles are congruent. c. congruent only when they are both obtuse angles. Suppose $\alpha$ and $\alpha'$ are vertical angles, hence each supplementary to an angle $\beta$. d. congruent only when they are both acute angles. Vertical angles have a common vertex, but they are never adjacent angles. Congruent Angles Congruent Angles have the same angle (in degrees or radians). Always, Sometimes, Never. Finally, vertical angles are always congruent. In the above given figure you can see two parallel lines are intersected by a transversal. Vertical angles, also known as opposite angles, are opposite angles formed by two intersecting lines.Vertical angles are ALWAYS congruent (angles that have the same measure) and tend to resemble bow ties. PLAY. Add your answer and earn points. never. vertical angles are always congruent...they are two nonadjacent angles formed by intersecting lines. https://www.mathwarehouse.com/geometry/angle/vertical-angles.php Since $\beta$ is congruent to itself, the above proposition shows that $\alpha\cong\alpha'$. True or false vertical angles are always congruent. In vertical angles, all the pairs of the angles are opposite each other. Vertical angles are always congruent, but congruent angles do not have to be vertical. Vertical angles are always equal in measure, they are very special angle and they are congruent to one another. Vertical angles are a. never congruent. True or false the acute angles in a right triangle must be complementary. Just the same angle. b. always congruent. Definitions are reversible. According to the same-side interior angle theorem, these two angle are always supplementary or the sum of measures of the two angles is equal to {eq}180^\circ {/eq}. Look at the figure below where the lines intersect and the angles formed.You can see that the opposite angles are congruent. sometimes. always. They don't have to be on similar sized lines. Aliza121 Aliza121 Vertical angles are congruent..or equal in measure They don't have to point in the same direction. That is all. Any two angles with the same angle measurement are considered congruent by definition. Vertical angles are non-adjacent angles and they are formed when 2 lines intersect. STUDY. Vertical angles are congruent. Whenever two lines intersect, they form two pairs of vertical angles. Now vertical angles are defined by the opposite rays on the same two lines. True or false obtuse angles do not have complements. The opposite angles are congruent on the same two lines... they are two nonadjacent angles formed by intersecting.! 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