Question

. In Fig. A, B, C are three
points on a circle,
A
such that the angles
subtended by the
chords AB and
80°
B
AC at the centre
С
0 are 80° and
120°, respectively.
P
Determine angleBAC
and the degree measure of arc BPC.

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Answer 1

Answer:

angle bac=80° and angle bpc =100

Step-by-step explanation:

angle BOA + angleAOC + angleBOC = 360 [ complete angle]

80°+120°+BOC= 360

BOC=160

angle BOC = 2*angle BAC [ write theorem 10.8 of 9 class]

160°= 2 angle BAC

BAC = 80°

angle BOC = 2*angle BPC[write theorem 10.8 of 9 class]

200= 2*BPC

BPC =100