Question

Solve the following subquestions.
angle POR = 120° and P-O-L. Points S and T are on the R - side of line PL such that
angle ROS = SOL and angle ROT = TOP. Draw figure and find angle TOS.​

Answer 1

Answer:

∠TOS =  90°

Step-by-step explanation:

∠POR + ∠LOR = 180°

=> 120° + ∠LOR = 180°

=>  ∠LOR =60°

∠ ROS = ∠SOL = x

∠ ROS + ∠SOL = ∠LOR

=> x + x = 60°

=> 2x = 60°

=> x = 30°

∠ ROS = ∠SOL = 30°

∠ ROT = ∠TOP = y

∠ ROT + ∠TOP = ∠POR

=> y + y = 120°

=> 2y = 120°

=> y = 60°

∠ ROT = ∠TOP = 60°

∠TOS = ∠ ROT + ∠ ROS

=> ∠TOS = 60° + 30°

=> ∠TOS =  90°