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Match the following. {:(,"List-I",,"Li...

Match the following.
`{:(,"List-I",,"List-II"),((P),"Five sixth of a straight angle =",1.,72^(@)),((Q),(4)/(5) "of a right angle =",2.,270^(@)),((R),"Three right angles =",3.,150^(@)),((S),"One right angle =",4.,90^(@)):}`

A

P - 3, Q - 1, R - 2, S - 4

B

P - 2, Q - 1, R - 3, S - 4

C

P - 4, Q - 3, R - 2, S - 1

D

P - 1, Q - 2, R - 3, S - 4

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question of matching the angles from List-I with their corresponding values in List-II, we will go through each item step by step. ### Step-by-Step Solution: 1. **Understanding the Angles**: - A **straight angle** measures **180 degrees**. - A **right angle** measures **90 degrees**. 2. **Calculating Five Sixth of a Straight Angle (P)**: - We need to calculate \( \frac{5}{6} \) of a straight angle. - This can be calculated as: \[ \frac{5}{6} \times 180 = \frac{900}{6} = 150 \text{ degrees} \] - Therefore, \( P \) matches with **150 degrees** (which is option 3). 3. **Calculating Four Fifths of a Right Angle (Q)**: - We need to calculate \( \frac{4}{5} \) of a right angle. - This can be calculated as: \[ \frac{4}{5} \times 90 = \frac{360}{5} = 72 \text{ degrees} \] - Therefore, \( Q \) matches with **72 degrees** (which is option 1). 4. **Calculating Three Right Angles (R)**: - We need to calculate \( 3 \) times a right angle. - This can be calculated as: \[ 3 \times 90 = 270 \text{ degrees} \] - Therefore, \( R \) matches with **270 degrees** (which is option 2). 5. **Calculating One Right Angle (S)**: - A right angle is simply **90 degrees**. - Therefore, \( S \) matches with **90 degrees** (which is option 4). ### Final Matches: - \( P \) matches with **3** (150 degrees). - \( Q \) matches with **1** (72 degrees). - \( R \) matches with **2** (270 degrees). - \( S \) matches with **4** (90 degrees). ### Summary of Matches: - P → 3 - Q → 1 - R → 2 - S → 4
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Knowledge Check

  • (3)/(2) right angle = ?

    A
    `115^(@)`
    B
    `135^(@)`
    C
    `270^(@)`
    D
    `230^(@)`
  • 3/2 right angles = ..........

    A
    `115^(@)`
    B
    `135^(@)`
    C
    `230^(@)`
    D
    `270^(@)`
  • 5/2 of right angle is ___________.

    A
    `450^(@)`
    B
    `180^(@)`
    C
    `225^(@)`
    D
    `135^(@)`
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