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Write the supplement of each of the foll...

Write the supplement of each of the following angles:
0.6 of a right angle

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To find the supplement of the angle that is 0.6 of a right angle, we will follow these steps: ### Step-by-Step Solution: 1. **Understand the concept of a right angle**: A right angle is equal to 90 degrees. 2. **Calculate 0.6 of a right angle**: \[ 0.6 \text{ of } 90^\circ = 0.6 \times 90 \] To calculate this, we can convert 0.6 into a fraction: \[ 0.6 = \frac{6}{10} = \frac{3}{5} \] Now, multiply: \[ \frac{3}{5} \times 90 = \frac{3 \times 90}{5} = \frac{270}{5} = 54^\circ \] 3. **Find the supplement of 54 degrees**: The supplement of an angle is found by subtracting the angle from 180 degrees: \[ \text{Supplement} = 180^\circ - 54^\circ \] Performing the subtraction: \[ 180^\circ - 54^\circ = 126^\circ \] 4. **Final answer**: The supplement of 0.6 of a right angle (which is 54 degrees) is: \[ 126^\circ \]
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ICSE-LINES AND ANGLES-Exercise 17A
  1. Write the complement of each of the following angles: 34^(@) 27^@

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  2. Write the complement of each of the following angles: 42^(@) 36'25''

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  3. Write the supplement of each of the following angles: 58^(@)

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  4. Write the supplement of each of the following angles: 105^(@)

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  5. Write the supplement of each of the following angles: 0.6 of a right...

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  6. Write the supplement of each of the following angles: (x-30)^(@)

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  7. Write the supplement of each of the following angles: 62^(@) 56'

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  8. Write the supplement of each of the following angles: 83^(@) 45'30''

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  9. If x^(@) and (x + 30)^(@) are complements of each other, find the valu...

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  10. If z^(@) and (z + 50)^(@) are supplements of each other, find the valu...

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  11. Two complementary angles are in the ratio 4:5. Find the angles

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  12. Two supplementary angles are in the ratio 7: 8. Find the angles

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  13. 25% of an angle is the complement of 50^(@). Find the angle

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  14. 80% of an angle is the supplement of 140^(@). Find the angle

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  15. An angle is double its complement. Find the angle

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  16. The measure of an angle is 20^(@) more than its complement. Find the m...

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  17. The measure of an angle is 30^(@) less than its supplement. Find the m...

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  18. Find an angle which is two-thirds of its complement

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  19. Find an angle which is one-fifth of its supplement

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  20. Find the an angle which is 5^(@) more than four times its supplement

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