In the given figure- the value of -x-and -y-is- X-45- - Y-75-X-30- - Y-55-X-45- - Y-30-X-60- - Y-75-

The correct option is D X=60^∘ , Y=75^∘From exterior angle property of triangles, we have 45^∘ + y=120^∘ ⇒ y=120^∘ 45^∘=75^∘ ⇒ y=75^∘ From angle sum property ...

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Byju's Answer

Standard VII

Mathematics

Angle Sum Property of a Triangle

In the given ...

Question

In the given figure, the value of 'x' and 'y' is:

X = 45^{\circ}, Y = 75^{\circ}

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X = 30^{\circ}, Y = 55^{\circ}

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X = 60^{\circ}, Y = 75^{\circ}

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X = 45^{\circ}, Y = 30^{\circ}

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Solution

The correct option is C $X = 60^{\circ}, Y = 75^{\circ}$
From exterior angle property of triangles, we have
$45^{\circ} + y = 120^{\circ} \Rightarrow y = 120^{\circ} - 45^{\circ} = 75^{\circ} \Rightarrow y = 75^{\circ}$
From angle sum property of triangles, we have
$45^{\circ} + 75^{\circ} + x^{\circ} = 180^{\circ} \Rightarrow x = 180^{\circ} - 120^{\circ} \Rightarrow x = 60^{\circ}$
Hence, the value is $x = 60^{\circ}, y = 75^{\circ}$

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In the given figure, the value of 'x' and 'y' is:

The correct option is C X=60∘,Y=75∘From exterior angle property of triangles, we have 45∘+y=120∘⇒y=120∘−45∘=75∘⇒y=75∘ From angle sum property of triangles, we have 45∘+75∘+x∘=180∘⇒x=180∘−120∘⇒x=60∘ Hence, the value is x=60∘,y=75∘