Question

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Answer 1

Answer:

The answers are:

$∠BOC=100° ∠CBO=30°$

Step-by-step explanation:

• Firstly, we can find $∠DCO$ by subtracting $∠A$ from $∠BCO$ to get $∠OCD$. This is because opposite angles are equal in parrallelograms.

$∠DCO=110-50=60°$

• Now we can find $∠CBO$ by subtracting $∠DCB$ from 180° to get $∠ABC$.

$∠ABC=180-110$

$=70°$

• Now to find $∠CBO$ we can subtract 40 from 70 and we will get 30° to be our value for $∠CBO$.
• Now to find $∠BOC$ we can just subtract $∠OBC$ and$∠OCB$ from 180° ( angle sum of ∆).

$∠BOC=180-50-30=100°$