The correct sentence would be: "The angles are equal; consequently, the sides are equal."

In geometry, when angles in a shape are equal, it often implies that the corresponding sides are also equal. Therefore, "equal" is the appropriate choice to complete the statement. The other options, "unequal," "larger," and "smaller," do not accurately reflect the relationship between equal angles and the corresponding sides in geometric shapes.

The correct sentence would be: "The increasing concerns about climate change point to the need for enhanced efforts towards achieving sustained growth."

In this context, "achieving" is the correct gerund form to convey the idea that efforts are needed to accomplish or attain sustained growth. The other options do not fit grammatically or idiomatically in this sentence.

The correct answer is "Sheath". Let us explore the given options: 'Shank' is a long, narrow part of a tool connecting the handle to the operational end. 'Sheath' is a close-fitting cover for the blade of a knife or sword.

The most appropriate meaning of the given idiom is 'Object to'. The definition of it is as follows: Take exception: Disagree with, object to, or to be offended or made angry by something or someone.

The correct answer is "someone or something new and refreshing". Given Idiom: Breath of fresh air means someone or something that makes a situation feel new, different, and exciting. For example, The beautiful new paint colour is a breath of fresh air for the office.

The literal meaning of movers and shakers is those who move and shake. Idioms have deep meanings and are connected to a common understanding. The people who can move and shake things. This is only possible if those people had power and the right influence.