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The supplement of a right angle is .....

The supplement of a right angle is ..............

A

`80^@`

B

`90^@`

C

`30^@`

D

`70^@`

Text Solution

AI Generated Solution

The correct Answer is:
To find the supplement of a right angle, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Definition of Supplementary Angles**: - Supplementary angles are two angles whose sum is equal to 180 degrees. 2. **Identify the Right Angle**: - A right angle is defined as an angle that measures 90 degrees. 3. **Set Up the Equation**: - Let’s denote the right angle as \( A \) (which is 90 degrees) and the supplementary angle as \( B \). - According to the definition, we can write the equation: \[ A + B = 180^\circ \] - Substituting the value of \( A \): \[ 90^\circ + B = 180^\circ \] 4. **Solve for \( B \)**: - To find \( B \), we can rearrange the equation: \[ B = 180^\circ - 90^\circ \] - Simplifying this gives: \[ B = 90^\circ \] 5. **Conclusion**: - Therefore, the supplement of a right angle is also a right angle, which measures 90 degrees. ### Final Answer: The supplement of a right angle is 90 degrees.
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RD SHARMA ENGLISH-LINES AND ANGLES -All Questions
  1. The complement of an acute angle is ..............

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  2. The supplement of an acute angle is .............

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  3. The supplement of a right angle is ..............

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  4. Write the Supplement of an angle of measure 60^@.

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  5. Write the supplement of an angle of measure 45^0dot

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  6. If a wheel has six spokes equally spaced, then find the measure of ...

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  7. An angle is equal to its supplement. Determine its measure.

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  8. An angle is equal to five times its complement. Determine its measu...

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  9. How many pairs of adjacent angles are formed when two lines intersec...

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  10. One angle is equal to three times its supplement. The measure of the...

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  11. Two complementary angles are such that two times the measure of one ...

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  12. Two straight lines A B\ a n d\ C D intersect one another at the poin...

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  13. Two straight lines A B\ a n d\ C D cut each other at Odot If /B O D=63...

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  14. Consider the following statements: When two straight lines interse...

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  15. Given /P O R=3x and /Q O R=2x+10^0dot If P O Q is straight line, then ...

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  16. A O B is a straight line and OC and OD are the two rays on it. If /A O...

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  17. In Figure, the value of y is (a) 20^0 (b) 30^0 (c) 45^0 (...

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  18. In Figure, if y/x=5 and z/x=4, then the value of x is

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  19. In Figure, the value of x is (a) 12 (b) 15 (c) 20 (d) 30

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  20. In Figure, which of the following statements must be true? (i) a+b=...

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