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Question Number 9920 by Tawakalitu ayo mi last updated on 15/Jan/17

Answered by mrW1 last updated on 16/Jan/17

x=360−(360−290)−(360−320)  =360−70−40  =250  or  290−x+320=360  x=290+320−360=250

$${x}=\mathrm{360}−\left(\mathrm{360}−\mathrm{290}\right)−\left(\mathrm{360}−\mathrm{320}\right) \\ $$$$=\mathrm{360}−\mathrm{70}−\mathrm{40} \\ $$$$=\mathrm{250} \\ $$$${or} \\ $$$$\mathrm{290}−{x}+\mathrm{320}=\mathrm{360} \\ $$$${x}=\mathrm{290}+\mathrm{320}−\mathrm{360}=\mathrm{250} \\ $$

Commented by Tawakalitu ayo mi last updated on 16/Jan/17

God bless you sir.

$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir}. \\ $$

Commented by RasheedSoomro last updated on 16/Jan/17

290−x+320=360   (why?)

$$\mathrm{290}−{x}+\mathrm{320}=\mathrm{360}\:\:\:\left(\mathrm{why}?\right) \\ $$$$ \\ $$

Commented by mrW1 last updated on 16/Jan/17

explanation:  you go ahead, turn 290 degrees  to the right (+), then turn x degrees  to the left (−) and then turn 320 degrees  to the right (+), finally you are in   your original direction again,  it means tatally you turn 360 degrees.  i.e. 290−x+320=360

$${explanation}: \\ $$$${you}\:{go}\:{ahead},\:{turn}\:\mathrm{290}\:{degrees} \\ $$$${to}\:{the}\:{right}\:\left(+\right),\:{then}\:{turn}\:{x}\:{degrees} \\ $$$${to}\:{the}\:{left}\:\left(−\right)\:{and}\:{then}\:{turn}\:\mathrm{320}\:{degrees} \\ $$$${to}\:{the}\:{right}\:\left(+\right),\:{finally}\:{you}\:{are}\:{in}\: \\ $$$${your}\:{original}\:{direction}\:{again}, \\ $$$${it}\:{means}\:{tatally}\:{you}\:{turn}\:\mathrm{360}\:{degrees}. \\ $$$${i}.{e}.\:\mathrm{290}−{x}+\mathrm{320}=\mathrm{360} \\ $$

Commented by mrW1 last updated on 16/Jan/17

Commented by RasheedSoomro last updated on 17/Jan/17

You supposed the legs of ′W′  to be parallel whereas I didn′t.  Anyway thanks for explanation.

$$\mathrm{You}\:\mathrm{supposed}\:\mathrm{the}\:\mathrm{legs}\:\mathrm{of}\:'\mathrm{W}' \\ $$$$\mathrm{to}\:\mathrm{be}\:\mathrm{parallel}\:\mathrm{whereas}\:\mathrm{I}\:\mathrm{didn}'\mathrm{t}. \\ $$$$\mathrm{Anyway}\:\mathrm{thanks}\:\mathrm{for}\:\mathrm{explanation}. \\ $$$$ \\ $$

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