in the given figure length of arc AB and length of arc BC are in ratio 3:2 if angle AOB = 84° find
1) angle BOC
1) angle CAO
3) angle OBC
Answers
Answered by
0
Answer:
Step-by-step explanation:
∡AOB=96
0
AB
:
BC
=3:2
⇒∡AOB:∡BOC=3:2
⇒
∡BOC
96
0
=
2
3
⇒∡BOC=
3
2
×96
0
=64
0
Now, Δ
"
OBC is isosceles [∵ OB=OC=r]
∴ ∡BOC+2∡OBC=180
0
⇒∡OBC=
2
180−64
=58
0
also Δ
"
AOB is isosceles [because OA=OB=r]
∴ ∡AOB+2∡OBA=180
0
⇒∡OBA=
2
180−96
=42
0
∴ ∡ABC=58
0
+42
0
=100
0
Similar questions