Angle POQ=64 arm PO is produced upto point R and OS is the bisector of Angle QOR Find the - Maths - Lines and Angles

Question

Angle POQ=64 arm PO is produced upto point R and OS is the
bisector of Angle QOR Find the measure of Angle POS

Rishabh Mittal · Accepted Answer

∠POQ = 46°  GivenLet ∠QOS=x∠QOS=∠ROS=x       OS is angle bisector∠POQ + ∠QOS + ∠ROS =180°    Linear pair46° + x + x =180°2x=180° - 46°2x=134°x=67°So , ∠QOS=∠ROS=67°∠POS=∠POQ + ∠QOS = 46° + 67° =113°   ANS

Angle POQ=64. arm PO is produced upto point R and OS is the bisector of Angle QOR.Find the measure of Angle POS..