Question

Plz ansr this wid explaination!!

Answer 1

Answer:

(c) 80 degree is the answer.

The Angle PCB = Angle PED = 80 degree

as ΔPBC ∼ ΔPDE, by SAS similarity criterion.

Step-by-step explanation:

PB / PD = 6/12 = 1/2     (1)

and PC/PE = 5/10= 1/2    (2)

Hence; from (1) and (2)

PB / PD = PC/PE

and Angle BPC = Angle EPD (vertically opoiste angles)

Since, one angle of Δ PBC is equal to one angle of ΔPDE and the sides including these angles are proportional, so both triangles are similar. Hence, ΔPBC ∼ ΔPDE, by SAS similarity criterion.

So, Angle PBC = Angle PDE = 60 degree,

and, the Angle PCB = Angle PED = 80 degree