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One of the angles ofa parallelogram is 4...

One of the angles ofa parallelogram is 45°: What will be the sum of the larger angle and twice the smaller angle of the parallelogram?

A

`228^@`

B

`224^@`

C

`225^@`

D

`222^@`

Text Solution

Verified by Experts

The correct Answer is:
C
Second angle of parallelogram =`180^@-45^@=135^@`
`:. " Required value "=135^@+2^@xx45^@`
`=135^@+90^@=225^@`
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Knowledge Check

  • Consecutive angles of parallelogram are

    A
    Equal
    B
    Complimentary
    C
    Supplementary
    D
    None of these

  • If one angle of a parallelogram is 24^@ less than twice the smallest angle then the largest angle of the parallelogram is

    A
    `68^@`
    B
    `102^@`
    C
    `112^@`
    D
    `176^@`

  • What is the smaller angle of a parallelogram? I. Ratio between the angles of a triangle is 3:5:4 and the larger angle, of the parallelogram is 34^@ more than the largest angle of the triangle. II. Larger angle of the parallelogram is 38° more than its smaller angle.

    A
    If the Statement I alone is sufficient to answer the question but the Statement II alone is not sufficient
    B
    If the Statement II alone is sufficient to answer the question but the Statement alone is not sufficient
    C
    If both Statements I and II together are needed to answer the question
    D
    If either the Statement I alone or Statement II alone is sufficient to answer the question

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