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F.2 Maths

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ABCDE is a pentagon. Angle A:Angle B:Angle C: Angle D: Angle E=5/3:2:3:4/3:2 Which lines are parallel?

最佳解答:

Angle A:Angle B:Angle C: Angle D: Angle E=5/3:2:3:4/3:2 Angle A:Angle B:Angle C: Angle D: Angle E=5/3:6/3:9/3:4/3:6/3 Angle A:Angle B:Angle C: Angle D: Angle E=5:6:9:4:6 because ABCDE is a pentagon, so interior angles of pentagon (5-2)x180 degree=540 degree Angle A=90 degree Angle B=108 degree Angle C=162 degree Angle D=72 degree Angle E=108 degree (A+B=198, B+C=270, C+D=234, D+E=180, E+A=198) Since Angle D+Angle E=180 degree, so CD//AE( CD and AE are parallel).

其他解答:

因為 E = 108 D=72 angle e + angle d = 180 so AE // DC
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