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Polar Representation of a Complex Number

If xo+zo=yo...

Question

If $x^{o} + z^{o} = y^{o}$ , then the value of $y^{o}$ is equal to:

A

80^{o}

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B

100^{o}

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C

90^{o}

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D

110^{o}

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Solution

The correct option is C $90^{o}$
Since $L M N$ is a straight line, we have, $x^{o} + y^{o} + z^{o} = 180^{o}$
Given, $x^{o} + z^{o} = y^{o}$

$⟹ y^{o} + y^{o} = 180^{o}$
$⟹ y^{o} = 90^{o}$

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