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Pls help with math asap

Pls help with math asap-example-1
User Ttacompu
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That whole angle is supplementary and we’re given 90 and the 73 is a vertical angle. 90 + 73 is 163 and 180 - 163 = 17
X = 17
User John Davis
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9 votes


\large{ \text{Hi, Hope you are fine!}}

GIVEN:


\bull \: \: \: \sf{\angle CGE= x \degree}

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\bull \: \: \: \sf{ \angle AGF = 75 \degree}


\bull \: \: \: \sf{AGC=90 \degree}

TO FIND:


\bull \: \: \: \sf{Value \: of \: x}

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SOLUTION:

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\sf{\angle AGC + \angle AGD=180° (Linear \: pair)}

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\sf{:\implies90 \degree+ \angle AGD=180° }

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\sf{ :\implies\angle AGD=180° - 90 \degree}

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\sf{:\implies \angle AGD= 90 \degree}


\sf{:\implies\angle FGD= \angle CGE=x}

[Vertically opposite angle]

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\sf{ \angle AGD= 90 \degree}

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\sf{:\implies \angle AGF+ \angle FGD= 90 \degree}

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\sf{ :\implies75 \degree + x = 90 \degree}

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\sf{ :\implies x = 90 \degree - 75 \degree}

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\sf{ :\implies \: x = 15 \degree}

User Tanaya
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