MCQ
In a parallelogram $PQRS,$ if $\angle\text{P}=60^\circ$, then other three angles are:
- A$45^\circ, 135^\circ, 120^\circ$
- ✓$60^\circ, 120^\circ, 120^\circ$
- C$60^\circ, 135^\circ, 135^\circ$
- D$45^\circ, 135^\circ, 135^\circ$
✓
Answer
Correct option: B.
$60^\circ, 120^\circ, 120^\circ$
B. $ 60^\circ, 120^\circ, 120^\circ$
Solution:
Given,$\angle\text{P}=60^\circ$ Since, in a parallelogram, adjacent angles are supplementary,
$\Rightarrow\angle\text{P}+\angle\text{Q}=180^\circ$
$\Rightarrow60^\circ+\angle\text{Q}=180^\circ$
$\Rightarrow\angle\text{Q}=120^\circ$
Also, opposite angles are equal in a parallelogram Therefore, $\angle\text{R}=\angle\text{P}=60^\circ,\angle\text{S}=\angle\text{Q}=120^\circ$
Hence, other three angles are $60^\circ, 120^\circ, 120^\circ.$
Solution:
Given,$\angle\text{P}=60^\circ$ Since, in a parallelogram, adjacent angles are supplementary,
$\Rightarrow\angle\text{P}+\angle\text{Q}=180^\circ$
$\Rightarrow60^\circ+\angle\text{Q}=180^\circ$
$\Rightarrow\angle\text{Q}=120^\circ$
Also, opposite angles are equal in a parallelogram Therefore, $\angle\text{R}=\angle\text{P}=60^\circ,\angle\text{S}=\angle\text{Q}=120^\circ$
Hence, other three angles are $60^\circ, 120^\circ, 120^\circ.$
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Range of Marks Obtained
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Number of students
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$250–300$
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$10$
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$300–350$
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$12$
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$350–400$
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$14$
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$400–450$
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$13$
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$450–500$
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$11$
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