Question

VREAU REPEDE PROBLEMA 20 DAU CORONITA!!!!!!!!!

Answer 1

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Answer 2

20.

N = (M + P)/2;   P =(N + Q) /2   si  N  = 4P/5

suma masurilor unghiurilor unui patrulater convex = 360°

M + N + P + Q = 360

N = (M + P)/2;     N = 4P/5⇒   (M + P)/2 =  4P/5⇒ M = 3P/5

P =(N + Q) /2 ⇒ 2P = N + Q ⇒2P = 4P/5 + Q⇒ Q = 6P/5

M + N + P + Q = 360 devine

3P/5+4P/5+P+6P/5 =360

18P = 360×5

P = 100°  

N = 4P/5=400/5=80°

M = 3P/5=300/5=60°

Q = 6P/5=600/5=120°

verificare 80 +100 + 60 +120 +...=360

360 = 360 deci rezolvarea este corecta!!!!