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Finding Unknown Angles

Find the valu...

Question

Find the values of 'x' and 'y' in the following diagrams

A

X = 60^{;} y = 90^{0}

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B

X = 30^{;} y = 90^{0}

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C

X = 40^{;} y = 90^{0}

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D

X = 60^{;} y = 60^{0}

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Solution

The correct option is A $X = 60^{;} y = 90^{0}$
Hence
$x = 60^{o}$ [opposite angle]

and, in $Δ A B C$
$y + x + 30 = 180$
$y = 180 - 30 - 60$
$y = 90^{o}$
so $x = 60^{o}, y = 90^{o}$

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