Question

In the figure, AO = OD = OC and reflex angle AOC = 230°. Find the value of x.
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Answer 1

Answer:

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Step-by-step explanation:

130 DEGREES

Answer 2

Given:

$\bold{(AO= OD=OC)}$

Reflex angle = $\bold{230^{\circ}}$

To prove:

Find the value of x.

Solution:

In the given question, figure is missing so, according to question we draw the figure:

According to Central angle theorem, The central angle on the circle for two chosen places A and B are often double to the angle written from such specific points:

So,

$\Rightarrow (AO= OD=OC)= 360^{\circ}\\\\\Rightarrow 360^{\circ} - AOC \\\\\therefore AOC = 230^{\circ}\\\\ \Rightarrow 360^{\circ} - 230^{\circ} \\\\ \Rightarrow 130^{\circ} \\\\ \Rightarrow \frac{130^{\circ}} {2} \\\\ \Rightarrow 65^{\circ}$

The value of the x is = $\bold{65^{\circ}}$