Question

a) The angles subtended by chords AC and CB at the centre O measure 90 and 116", respectively. Find the measure of ZBCA. ​

Answer 1

Answer:

OA=OB=OC=radius

In △OBC

Since OB=OC

∠OBC=∠OCB

∠BOC=155

∠OBC+∠OCB+∠BOC=180

2∠OCB=180−155

∠OCB=12.5

Similarly in △OAC

2∠OCA=180−55

∠OCA=62.5

2∠OCB=180−155

∠OCB=12.5

SCB = 2∠OCB=180−155

∠OCB=12.5

OCB + 2∠OCB=180−155

∠OCB=12.5

∘

OCA=12.5+62.5=75

∘

solution

Step-by-step explanation:

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Answer 2

Answer:

O measure 90 and 116", respectively. Find the measure of ZBCA.