Answer :
Final Answer:
The supplement of a 66-degree angle is 114 degrees, making option (D) the correct answer. This is calculated by subtracting the given angle from 180 degrees. Therefore correct option is D.
Explanation:
The supplement of an angle is the amount by which it falls short of 180 degrees. In this case, the given angle is 66 degrees. To find its supplement, subtract 66 from 180, resulting in 114 degrees.
Therefore, the correct answer is option (D) with 114 degrees. This calculation is based on the fact that the sum of the measures of an angle and its supplement is always 180 degrees in a straight line.
The reasoning is fundamental in geometry, where angles play a crucial role in understanding the relationships between lines and shapes. Recognizing the supplementary relationship aids in solving various geometric problems and is a key concept in mathematical reasoning.
Therefore correct option is D.
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Final Answer:
The supplement of a 66-degree angle is 114 degrees. To find the supplement, subtract the given angle from 180: 180 - 66 = 114 degrees. Thus the correct option is (D) 114 degrees.
Explanation:
The supplement of an angle is the measure of the angle needed to complete a straight line, which is always 180 degrees. In this case, we are given a 66-degree angle, and to find its supplement, we subtract it from 180. The formula for finding the supplement of an angle [tex]\(A\)[/tex] is given by [tex]\(180 - A\).[/tex]
So, for a 66-degree angle, the supplement is [tex]\(180 - 66 = 114\)[/tex]degrees. This means that the original angle is 66 degrees away from forming a straight line with its supplement. In essence, the supplement completes the remaining part of the straight angle.
Understanding angle supplements is crucial in geometry and various real-world applications. In geometry, it helps in solving problems related to angles within shapes and figures. In practical terms, knowledge of supplements is essential in fields such as architecture, engineering, and physics, where precise angles play a significant role.
In summary, when faced with finding the supplement of an angle, it's a matter of subtracting the given angle from 180 degrees. In the case of a 66-degree angle, the supplement is 114 degrees, providing a complete perspective on the relationship between the original angle and its supplementary counterpart.
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