Question

please help me solve this Q ​

Answer 1

Step-by-step explanation:

here it is

I hope u will understand my answer

Answer 2

Answer:

$\huge{ \pink {\boxed{ \bold{ \green{Solution}}}}}$

See image

$\large{ \underline {\bold{ \blue{Have \: Given :-}}}}$

$AB || CD , \: \angle{ABP} = 30° and \: \: \angle{CDP} = 40°.$

$\large{ \underline{ \bold{ \orange{To \: know :-}}}}$

$\angle DPB = ?$

$\large {\underline{ \bold{ \pink{Composition}}}}$

$\bold{Draw \: a \: line \: MQ \: parallel \: to \: AB \: and \: CD}, \\ \bold{ passes \: through \: the \: point \: point \: P.}$

$\bold{ \angle BPQ = \angle ABP \: \: (alternate\: angle)}$

$\bold{\therefore \: \angle BPQ = 30° }$

$\bold{ \angle DPQ = \angle CDP \: (alternate \: angle)}$

$\bold{\therefore \: \angle DPQ = 40°}$

$\bold{\because \: \angle DPB = \angle BPQ + \angle DPQ}$

$\bold{\therefore \: \angle DPB = 40° + 30°}$

$\bold{\angle DPB = 70°}$

I hope it is helpful