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Question Number 51798 by Gulay last updated on 30/Dec/18

Commented by Gulay last updated on 30/Dec/18

ENM=60      Find        PEM

$$\mathrm{ENM}=\mathrm{60}\:\:\:\:\:\:\mathrm{Find}\:\:\:\:\:\:\:\:\mathrm{PEM} \\ $$

Commented by Gulay last updated on 30/Dec/18

sir could you help me?

$$\mathrm{sir}\:\mathrm{could}\:\mathrm{you}\:\mathrm{help}\:\mathrm{me}? \\ $$

Commented by tanmay.chaudhury50@gmail.com last updated on 30/Dec/18

∠PEM=∠ENM+∠NME                   =60^o +x  now  if △MNE  equilateral  then  x=60^o   ∠PEM=60^o +60^o =120^o

$$\angle{PEM}=\angle{ENM}+\angle{NME} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\mathrm{60}^{{o}} +{x} \\ $$$${now}\:\:{if}\:\bigtriangleup{MNE}\:\:{equilateral}\:\:{then}\:\:{x}=\mathrm{60}^{{o}} \\ $$$$\angle{PEM}=\mathrm{60}^{{o}} +\mathrm{60}^{{o}} =\mathrm{120}^{{o}} \\ $$

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