Question

In rhombus PQRS angle PQS = 30• find angle QRS and angle QRS​

Answer 1

Answer:

Step-by-step explanation:

From the figure,

exterior angle Q = 151°

Also,

Exterior angle Q + angle SQR = 180°          linear pair

151° + angle SQR = 180°

angle SQR = 180° - 151°

angle SQR = 29°  

In ΔQRS,

QR = RS

angle SQR = angle RSQ             opposite angles of equal sides

angle SQR = 29° = angle RSQ  

In ΔQRS,

angle RQS + angle RSQ + angle QRS = 180°

29° +  29° + angle QRS = 180°

angle QRS = 122°

PQRS is a rhombus hence, angle PQS = angle PSQ = 29° and angle QPS = 122°