Question

find the value of x in the following ​

Answer 1

anglePQR = 180°-60°=120°. (linear pair)

angleQPT = 180°-70°=110°. (linear pair)

anglePTS = angleQRS = x

the sum of all angles of a pentagon = 540°

anglePQR+angleQRS+

angleRST+angleSTP+angleTPQ = 540°

=> 120°+x+30°+x+110°=540°

=> x+x+120°+30°+110°=540°

=> 2x+260°=540°

=> 2x = 540°-260°

=> x = 280/2

=> x = 140°

angleQRS = angleSTP = 140°

I hope this answer helps you.