Question

Pls help with math asap

Answer 1

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

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

Answer 2

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