Need which theorem could be used to prove that angle uqt is congruent to angle wrt? a. corresponding angles theorem b. vertical angles theorem c. alternate interior angles theorem d. linear pair theorem

The correct option is A. The Corresponding Angles Theorem states: If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. 

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since the cosine is the ratio of the adjacent side to the hypotenuse, you can see that cos 60° = ½. answer. according to the property of cofunctions (topic 3), sin 30° is equal to cos 60°. sin 30° = ½.