# In the picture, b

In the given figure,

ASD = PSR [Vertically opposite angles]…[1]

In ΔASD

ASD + ADS + DAS = 180° [By angle sum property]

Also, As AS and DS are angle bisectors, therefore

and

Using these and from equation [1] we have,

…[2]

Similarly,

…[3]

Also, A + B + C + D = 360° [By angle sum property of quadrilateral]

PSR + PQR = 180°

[As in a cyclic quadrilateral, sum of any pair of opposite angles is 180°].

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :

In the picture, tKerala Board Mathematics Part-1

The two circles bKerala Board Mathematics Part-1

In the picture beKerala Board Mathematics Part-1

In the picture, pKerala Board Mathematics Part-1

In the picture, bKerala Board Mathematics Part-1

Calculate the angKerala Board Mathematics Part-1

Prove that any exKerala Board Mathematics Part-1

Prove that a paraKerala Board Mathematics Part-1

Prove that a non-Kerala Board Mathematics Part-1