Question

Solve the following questions : 1. In the figure, find the value of 'x'.​

Answer 1

Answer:

x = 150°

angle RQS = 100° ( vertically opposite angle)

By Angle sum property of triangle

angle QSR = 180° - 100°+50°

angle QSR = 30°

angle x = 150° ( Linear pair)

Answer 2

Answer:

angle PQX=100°

so,angleRQS=100°

because opposite angle

in triangle QRS,

angle QRS+ angle RSQ+angle+ angle SQR=180°

50°+ angle RSQ+100°=180°

=> angle RSQ=180°-100°-50°=30°

angle RSQ+angleQST=180°

=> 30° +angle QST=180°

=> angle QST=180°-30°=150°