Inscribed Angles and Arcs help?

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Inscribed Angles and Arcs help?

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Answer 1 · 2018-03-01T03:47:40

$∠ A = 106^{\circ}$ $angleA=106^@$

Explanation:

$A B C D$ $ABCD$ is a cyclic quadrilateral. In a cyclic quadrilateral, opposites angles add up to $180^{\circ}$ $180^@$
$\Rightarrow ∠ A + ∠ C = 180$ $=> angleA+angleC=180$ ,
$\Rightarrow ∠ A + 74 = 180$ $=> angleA+74=180$ ,
$\Rightarrow ∠ A = 180 - 74 = 106^{\circ}$ $=> angleA=180-74=106^@$

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Inscribed Angles and Arcs help?

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