Question

the adjacent angle of a quadrilateral are 60 and 130 degree can the quadrilateral be a parallelogram if so why​

Answer 1

The adjacent angle of a quadrilateral are 60 and 130 degree then the quadrilateral cannot be a parallelogram

Solution:

Given that,

The adjacent angle of a quadrilateral are 60 and 130 degree

Can the quadrilateral be a parallelogram if so why​

A quadrilateral is a parallelogram if sum of the adjacent angles should be 180 degrees

But from given,

Sum of adjacent angle = 60 + 130 = 190 degrees

But for a quadrilateral to be parallelogram, this condition is not satisfied

Thus, the quadrilateral cannot be a parallelogram

Learn more:

"Question 3 Can a quadrilateral ABCD be a parallelogram if (i)∠D +∠B = 180°? (ii) AB = DC = 8 cm, AD = 4 cm and BC = 4.4 cm? (iii)∠A = 70° and∠C = 65°?

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Can a quadrilateral ABCD be a parallelogram,give reasons in support of your answer. (1) angleA +angleC=180 degree (2)AD=BC=6cm,AB=5cm,DC=4.5cm (3)angleB=80degree,anglD=70dgr (4)anglB+anglC=180dgr

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Answer 2

Answer:

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