Question

In a quadrilateral ABCD, angle A + angle D=180digree. Does this mean AB is parallel to DC?why? What Special name does this quadrilateral have?​

Answer 1

Answer:yes because if the angles of same side sum up to 180 degree then the lines are parallel

Quadrilateral with one pair of line being parallel is called trapezium

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Answer 2

Answer :

Trapezium

Step to step explain:

Since, ABCD is a quadrilateral and angle A + angle D = 180 degree.

From the figure, we can see that angle A and angle D form the adjacent angle pair and it already known that two adjacent angle always add to give their angle sum is equals to 180 degree.

Also, adjacent angle are formed if two line are parallel which means that if two adjacent angle give then two line must be parallel.

Therefore, AB parallel to CD.

So, if two line are parallel and angle sum of two adjacent angle equals to 180 degree, then this type of quadrilateral is known as "Trapezium"..

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