Question

in a quadrilateral the greatest side and the smallest sides are opposite to each other less prove that the adjacent angle to the greatest side is smaller than its opposite side​

Answer 1

Step-by-step explanation:

Let ABCD be a parallelogram, with angleA = α and angleB = β.

Prove that angleC = α and angleD = β.

α + β = 180° (co-interior angles, AD || BC),

so angleC = α (co-interior angles, AB || DC)

and angleD = β (co-interior angles, AB || DC).