Question

pvc is a triangle whose side cb is extended to the point e. the exterior angle pbe measure 120° and angles pbd and pdb are equal. find angle pcb​

Answer 1

Answer:

PBE+PBD=180 (linear pair)

120-PBD=180

PBD=180-120

PBD=60

SINCE, PBD =PDB

PDB=60

PDB+PDC=180 (linear pair)

60+PDC=180

PDC=180-60

PDC=120

PDC+x+DPC=180 (sum angle property of a triangle)

120+x+35=180

x=180-155

x=25° 120+35=155