Question

1.Our dilemma was WHETHER WE SHOULD STUDY SPANISH OR GERMAN.

Answer 1

1.Our dilemma was WHETHER WE SHOULD STUDY SPANISH OR GERMAN. - C. noun clause
2. The sick whale died IN SILENT AGONY on the beach. - adverb phrase
3. A mistake in logic - A. logical fallacy
4.After the quarter back was injured, the coach decided TO GIVE AL A CHANCE. - B. infinitive phrase

Answer 2

I think the answers are:
1. noun clause
2.infinitive phrase