Question

In ​ Quadrilateral ABCD ​ , AB¯¯¯¯¯∥CD¯¯¯¯¯ and m∠2=31°.

Answer 1

When DC//AB, ∠5=∠2=31

Answer 2

$\text{Answer: }\angle 5=31\textdegree$

Explanation:

Since we have given that

AB║CD

and

$m\angle 2=31\textdegree$

Since we know that AB║CD

So, Alternate angles will be equal to each other and

$\angle2=\angle 5\\\angle 1=\angle 6$

So, value of angle 2 is equal to value of angle 5 i.e.

$\angle5=\angle 2=31\textdegree$

Hence ,

$\angle 5=31\textdegree$