Pls help with math asap

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candacek2007ov3y2z candacek2007ov3y2z

23-01-2021
Mathematics

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Pls help with math asap

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SaxyCows SaxyCows · Answer 1 · 2021-01-23T07:28:25+01:00

SaxyCows SaxyCows

23-01-2021

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

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Аноним Аноним · Answer 2 · 2021-01-23T08:10:05+01:00

[tex] \large{ \text{Hi, Hope you are fine!}}[/tex]

GIVEN:

[tex] \bull \: \: \: \sf{\angle CGE= x \degree}[/tex]

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[tex] \bull \: \: \: \sf{ \angle AGF = 75 \degree}[/tex]

[tex] \bull \: \: \: \sf{AGC=90 \degree}[/tex]

TO FIND:

[tex] \bull \: \: \: \sf{Value \: of \: x}[/tex]

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SOLUTION:

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

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[tex] \sf{:\implies90 \degree+ \angle AGD=180° }[/tex]

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[tex] \sf{ :\implies\angle AGD=180° - 90 \degree}[/tex]

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[tex] \sf{:\implies \angle AGD= 90 \degree}[/tex]

[tex] \sf{:\implies\angle FGD= \angle CGE=x}[/tex]

[Vertically opposite angle]

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[tex] \sf{ \angle AGD= 90 \degree}[/tex]

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[tex] \sf{:\implies \angle AGF+ \angle FGD= 90 \degree}[/tex]

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[tex] \sf{ :\implies75 \degree + x = 90 \degree}[/tex]

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[tex] \sf{ :\implies x = 90 \degree - 75 \degree}[/tex]

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[tex] \sf{ :\implies \: x = 15 \degree}[/tex]