Question

ABCD is a quadrilateral in which $AB||DC$ and $DC||BC$. Find $\angle b,\angle cand\angle d$.

Answer 1

Given that, $AB||DC$ and $DC||BC$

So from above we can say that given quadrilateral is Parallelogram

$\Rightarrow \angle b+{50}^0={180}^0$

$\Rightarrow$ $b={130}^0$

$\Rightarrow b+c={180}^0\Rightarrow {130}^0+c={180}^0\Rightarrow c={50}^0$

$\Rightarrow d+{50}^0={180}^0\Rightarrow d={130}^0$