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Consider the trapezium (or trapezoid) ABCD such that AD is parallel to BC.

Then angles DAB and ABC are consecutive interior angles (or co-interior angles) and sum to 180 deg.

Similarly, angles ADC and DCB sum to 180 deg.

Therefore, the sum of all four is 180 + 180 = 360 deg.

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9y ago

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Q: How do you know that a trapazoid measures 360 degrees?
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