Question

class 9 th maths
tell ​

Answer 1

Step-By-Step Explanation

Diagonal of parallegram bisect the angle, hence:

In <ABC;

<ABD=<DBC

In <ADC;

<ADB=<DBC -(1)

In triangle ADN and CBP;

<ADN=<CBN ( From (1))

<AND=<CPB (90)

BC=AD (opp. sides of parallegram are equal)

Triangle ADN=CBP ( By AAS)- proved (i)

AN=CP (by cpct) - proved (ii)

HENCE PROVED