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

Does a trapazoid have 360 degrees?

Yes


How many degrees is a trapazoid?

a: 360


How do you know that a trapazoid measures to 360 degrees?

The sum of the interior angles of a polygon with n sides is (n-2)*180 degrees.A trapezoid is a quadrilateral - it has 4 sides. Therefore its interior angles sum to (4 - 2)*180 = 360 degrees.


The sum of the interior angles of a trapazoid is?

360 degrees


What is the sum of the interior angles of a trapazoid?

360 degrees


What are all the angles of a trapazoid added together?

A trapezoid is a quadrilateral, a figure with four sides. The sum of the interior angle measures of any quadrilateral is 360 degrees.


How many triangles in a trapazoid?

2 because there are 360 degrees in a quarilateral and 180 degrees in a triangle.


What is all the angle measurings for a trapazoid?

The sum of all the interior angles is 360 degrees.


How many degrees total are the angles in a trapazoid?

The four angles inside any 4-sided figure always add up to 360 degrees.


How many degrees is 4 right angles?

it measures 360 degrees


What did Obama do to be the best president?

it measures 360 degrees


The sum of the measures of the angles of a trapezoid is?

360 degrees.