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The measure of an angle is twice the mea...

The measure of an angle is twice the measure of its supplementary angle. Find its measure.

Text Solution

Verified by Experts

Let the angle be `x`
The supplement`=(180−x)^@`
According to the question:
`x=2(180−x)^@`
`3x=360^@`
`x=120^@`
`therefore` The angle`=120^@`
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Knowledge Check

  • The measure of an angle is twice the measure of its supplementary angle. Then, the measure of that angle is .............

    A
    `60^(@)`
    B
    `120^(@)`
    C
    `50^(@)`
    D
    `100^(@)`

  • The measure of an angle is four times the measure of its complementary angle. Then, the measure of that angle is ............

    A
    `18^(@)`
    B
    `72^(@)`
    C
    `40^(@)`
    D
    `10^(@)`

  • An angle is 1/3 rd of its supplementary angle. Find the measure of the angle?

    A
    `45^@`
    B
    `90^@`
    C
    `135^@`
    D
    `22.5^@`

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    The measure of an angle is five times its complement. The angle measures.

    Angles A and B are complementary and the measure of angle A is twice the measure of angle B. Find the measures of angles A and B

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