"Cordial" is defined as warm and sincere. "Cordially" is commonly used at the end of letters, in place of "sincerely." "Friendly" is the closest match because warmth and sincerity are associated with friendliness.

"Headstrong" is an adjective that means "not willing to do what other people want: very stubborn." So, we need to pick out an answer choice that is also an adjective and means something like "stubborn." While "tough" might look like a potentially correct answer because "tough" is a synonym of "strong," and "headstrong" contains the word "strong," "tough" does not mean "stubborn," so it cannot be the correct answer. "Obstinate," however, means "stubbornly refusing to change one's opinion or chosen course of action, despite attempts to persuade one to do so." Because "obstinate" is the answer choice closest in meaning to "headstrong," "obstinate" is the correct answer.

Something that is solemn such as a solemn event indicates that it is serious in nature.

If someone is distraught, it means they are highly distressed and upset.

When someone is glum, it means that they are depressed or saddened.

"Dissatisfied" is an adjective that means "not content or happy with something." So, we need to pick out an answer choice that means something like "not happy with something." So, "pleased" cannot be the correct answer, because "pleased" is an antonym of "dissatisfied," not a synonym. "Disgruntled," however, is an adjective that means "angry or dissatisfied," so "disgruntled" is the correct answer because it is closest in meaning to "dissatisfied."

Benevolent is often used to refer to leaders who lead with kindness and generosity. While polite may be close, benevolence always goes hand in hand with generosity; thus "generous" is the correct answer.

"Furious" means full of rage. The best answer choice is "enraged" because it shares the same definition. "Furious" and "enraged" are synonyms. Considering the other choices, "depressed" means sad and gloomy, "miffed" means annoyed, and "ecstatic" means incredibly overjoyed.

When somone is distraught, they are upset and deeply agitated, which can also describe someone who is distressed. 

If someone is distraught, they can also be emotional, but distressed is a better answer choice.  Emotional describes both positive and negative feelings, whereas distraught and distressed have negative connotations.

"Melancholy" refers to a gloominess in a person's mood; a person who is feeling "melancholy" will seem sad or depressed. "Mournful," which also means sad or gloomy, is therefore the best answer. "Pleased" is an opposite of "melancholy," and both "boring" and "impassive" indicate a lack of emotion, not any specific feeling of sadness.