Question

Find the unknown size of the angle

Answer 1

A∈ (AC)

∠RAC=180°

B∈(AP)

∠ABP=180°

∠ABC=180-2x

C∈QB

∠ACB = 180-3x

in ACB :

180-4x+180-2x+180-3x=180

540-9x=180

-9x=180-540

-9x=-360

x=40°

∠RAB = 4x= 160°

∠CBP = 80°

∠ACQ = 120°