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If an angle is 30^0 more than one half o...

If an angle is `30^0` more than one half of its complement, find the measure of the angle.

Text Solution

Verified by Experts

Let an angle measured by ‘ a ‘ in degrees.
Thus, its complement will be `(90 – a)^@`
Required Angle = `30^@` + complement/`2`
`a = 30^@ + ( 90 – a )^@/2 `
`a + a/2 = 30^@+ 45^@`
`3a/2 = 75^@`
`a = 50^@`.
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Knowledge Check

  • An angle is 30^@ more than one half of its complement. Find the angle in degrees.

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    A
    B
    B
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    C
    D
    D
    A

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