Question

Angle PQR equals to angle PRQ proove that angle POS equal to angle PRT

Answer 1

Given angle PQR = angle PRQ let it be equation 1 Angle PQS + angle PQR = 180° (linear pair axiom ) Angle PRT + angle PRQ = 180° (linear pair axiom) Angle PQS + angle PQR = angle PRT + angle PRQ Angle PQS + angle PQR = angle PRT + angle PQR ( from equation 1) ((both angle PQR gets cancel because if we bring LHS angle PQR to RHS so angle PQR becomes minus . Angle PQR -Angle PQR =0 )) HENCE IT IS PROVED ANGLE PQS = ANGLE PRT