What is the measure of the supplement of 54°?a)126°b)49°c)...
As we know for becoming supplementary angles, the sum of both the angles should be 180∘
Let the supplementary angle be x.
So, 54∘+x = 180∘
⇒ x = 126∘
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What is the measure of the supplement of 54°?a)126°b)49°c)...
Supplementary angles = x+y=180 degrees
= 54+x=180 = 180-54=126.
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What is the measure of the supplement of 54°?a)126°b)49°c)...
Understanding Supplementary Angles
Supplementary angles are two angles whose measures add up to 180 degrees. To find the supplement of a given angle, you subtract the angle from 180 degrees.
Calculating the Supplement of 54°
To calculate the supplement of 54°, follow these steps:
- Start with the total angle: 180°
- Subtract the given angle: 54°
Calculation:
- 180° - 54° = 126°
Therefore, the measure of the supplement of 54° is 126°.
Answer Options Review
Now, let’s look at the answer choices provided:
- a) 126°
- b) 49°
- c) 35°
- d) None of these
Since we calculated that the supplement is 126°, the correct answer is:
Correct Answer: a) 126°
This confirms that option 'A' is indeed the right choice, as it matches our calculation of the supplement of the angle 54°.
Conclusion
When dealing with angles, remember that the sum of supplementary angles is always 180°. This principle is crucial for solving various problems in geometry and can be applied to many other angle-related questions.