Question

B

O
In the figure,
O
A
For circle O, m CD = 125° and m/ABC = 55°.
and 2
have measures equal to 35°.
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Answer 1

∠ABO and ∠BCO equal to 35

Step-by-step explanation:

Measure of arc AD = 180 - measure of arc CD = 180 - 125 = 55

m∠AOB = 55 ( measure of central angle is equal to intercepted arc)

∠OAB = 90 degrees (Tangent makes an angle of 90 degrees with the radius)

In triangle AOB ,

∠AB0 = 180 - (90 + 55) = 35 degrees(angle sum property of triangle)

In triangle BOC, ∠BOC = 125,

m∠, BCO = 35 degrees