Question

in the given figure POS is a line, determine the value of x​

Answer 1

Step-by-step explanation:

POS is a straight line. ( Linear pair ).

The sum of angles formed on a straight line is equal to 180 °. It is also called LINEAR PAIR.

So,

Angle POQ + Angle QOR + Angle ROS = 180 °

60 ° + 5x - 20 ° + 40 ° = 180 °

5x + 80 ° = 180 °

5 x = 180 ° - 80 ° = 100 °

x = 100 ° ÷ 5

x = 20 °

Hence, x = 20 °

Answer 2

Answer:

answer to the above question is given in the attachment