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Theorem of Equal Chords Subtending Angles at the Center

Find the valu...

Question

Find the value of x from the adjacent figure

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Solution

We know that

$∠ A O D + ∠ D O C + ∠ C O A = 180$

$2 x + 3 x + 5 x = 180$

$10 x = 180$

$∴ x = 18$

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