ICSE Class 8 Answered
Find the measure of all the angles in rhombus PQRS as shown below
Asked by Cl_narayan | 25 Jun, 2019, 05:49: PM
Expert Answer
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°
Answered by Sneha shidid | 26 Jun, 2019, 09:28: AM
ICSE 8 - Maths
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