Question

In figure, AB=
AD = DC= PB
and angle DBC = 20°.
Determine
(i) angle ABD
(ii) angle APB
Hence, or
otherwise, prove
that AP is parallel
to DB.​

Answer 1

Answer:

the angle ABD is 20°(by VOA)

and the APB is 90° bcoz AP is h and opp.. angle of h is 90°

Answer 2

Answer:

i.<ABD=180-90-20=70

ii.<APB=45

Step-by-step explanation:

i.consider PC as a straight line,

so its angle is 180

<PBA=90

.: <ABD =70

ii.<B+<D=180

<A+<C=180(it is a law for a circle so that vertices of quadrilateral can only on the circle )

<B=90

PB = AB( given)

.: angle PAB = angle BAP= 45