Question

Q. 2/ fig .2) In figure, AB||CD, CD||EF and y:z=3:7,find x

Answer 1

Answer:

126°

Step-by-step explanation:

$we \: know \: by \: the \: sum \: of \: co \: interior \: \: angle \: \\ y + x= 180° \\ now \: as \: we \: know \: \\ x = z \: \: \: (alternate \: interior \: angle) \\ as \: we \: know\: AB\: line \: is \: prallel \: to \: CD \: line \: \\ and \: CD \: is \: parallel \: to \: EF \: line \: \\ thus \: AB \: line \: will \: be \: parllel \: to \: the \: EF\: line \:\\ thus\: replacing \: x \: with \: z \\ z + y = 180° \\ now \: let \: the \: angle \: be \: x \\ so \: both \: the \: angle \: will \: be \: 3x \: and \: 7x\\ therefore \: \\ 3x + 7x = 180\\ so \: 10x = 180 \\ x = 18 \\ if \: x \: is \: 18 \: then \: we \: \: know \: y = 3x = 3 \times 18 = 54° \: and \: z = 7x = 7 \times 18 = 126° \\ so \: we \: know \: angle \: z = x \: \\ so \: x = 126°$

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