The measure of an angle is 45- The measures of its complement and supplement are respectively -

The correct option is C 45^∘, 135^∘ An angle + it's complement =90^∘ ⇒ 45^∘+x^∘=90^∘ ⇒ x^∘=45^∘ Angle + it's supplement = 180^∘ ⇒ 45^∘+ y^∘ = 180^∘ ⇒ y^∘=180^∘ ...

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Byju's Answer

Standard VI

Mathematics

Finding Unknown Angles

The measure o...

Question

The measure of an angle is $45^{\circ}$ . The measures of its complement and supplement are respectively ___.

$135^{\circ}, 45^{\circ}$

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$150^{\circ}, 50^{\circ}$

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$45^{\circ}, 135^{\circ}$

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$35^{\circ}, 145^{\circ}$

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Solution

The correct option is C
$45^{\circ}, 135^{\circ}$

An angle + it's complement $= 90^{\circ}$

$\Rightarrow 45^{\circ} + x^{\circ} = 90^{\circ}$

$\Rightarrow x^{\circ} = 45^{\circ}$

Angle + it's supplement $= 180^{\circ}$

$\Rightarrow 45^{\circ} + y^{\circ} = 180^{\circ}$

$\Rightarrow y^{\circ} = 180^{\circ} - 45^{\circ}$

$\Rightarrow y^{\circ} = 135^{\circ}$

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The measure of an angle is 45∘. The measures of its complement and supplement are respectively ___.

The correct option is C 45∘, 135∘ An angle + it's complement =90∘ ⇒45∘+x∘=90∘ ⇒x∘=45∘ Angle + it's supplement =180∘ ⇒45∘+y∘=180∘ ⇒y∘=180∘−45∘ ⇒y∘=135∘

The measure of an angle is $45^{\circ}$ . The measures of its complement and supplement are respectively ___.