Math, asked by Vmallikarjuna5773, 3 months ago

In figure AB=RS , BQ= RP AND ANGLE R = ANGLE

Answers

Answered by Anonymous
1

Answer:

(i) ∠PRB=∠BAP=35

o

(Angles in the same segment of the circle)

(ii) ∠BPA=90

o

(angle in a semicircle)

∴∠BPQ=90

o

∴∠PBR=∠BQP+∠BPQ=25

o

+90

o

=115

o

(exterior angle in △BPQ)

(iii) ∠ABP=90

o

−∠BAP=90

o

−35

o

=55

o

∴∠ABR=∠PBR=∠ABP=115

o

−55

o

=60

o

∴∠APR=∠ABR=60

o

(Angle in the same segment of circle)

Hence, ∠BPR=90

o

−∠APR=90

o

−60

o

=30

o

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