Question

in this given figure, measure of angle boc
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Answer 1

Answer:

the answer is 45°

Step-by-step explanation:

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Answer 2

∠$BOC=65^{o}$

Step-by-step explanation:

Given:

∠$BAC=50^{o}$

∠$EBO=$∠$OBC$

∠$DCO=$∠$OCB$

To Find: ∠$BOC$

Calculation:

Let ∠$EBO=$∠$OBC$$=y$ and ∠$DCO=$∠$OCB$$=x$.

Let ∠$BOC$$=p$

Now, from Δ$ABC$, ∠$ABC=(180-2y)$ and ∠$ACB=180-2x$

From Δ$ABC$:

$50+180-2y+180-2x=180\\230=2(x+y)\\115=x+y$

From Δ$BOC$:

$p=180-(x+y)\\p=180-115\\p=65^{o}$

Answer:

∠$BOC=65^{o}$