If ABCD is a cyclic quadrilateral- then X -A- 80-B- 120- 90-D- 100-

The correct option is D 100^∘The sum of opposite angles of a nbsp;cyclic quadrilateral is 180^∘. ⇒ nbsp;∠ DAB + ∠ DCB = 180^∘ ⇒ 80^∘ + x = nbsp;180^∘ ...

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Standard X

Mathematics

Angles in Alternate Segments

If ABCD is a ...

Question

If ABCD is a cyclic quadrilateral, then $x$ = ___.

120^{\circ}

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90^{\circ}

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100^{\circ}

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80^{\circ}

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Solution

The correct option is C $100^{\circ}$
The sum of opposite angles of a cyclic quadrilateral is $180^{\circ} .$

$\Rightarrow ∠ D A B + ∠ D C B = 180^{\circ}$

$\Rightarrow 80^{\circ} + x = 180^{\circ}$

$\Rightarrow x = 100^{\circ}$

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If ABCD is a cyclic quadrilateral, then x = ___.

The correct option is C 100∘The sum of opposite angles of a cyclic quadrilateral is 180∘. ⇒∠DAB+∠DCB=180∘ ⇒ 80∘+x=180∘ ⇒x=100∘

If ABCD is a cyclic quadrilateral, then $x$ = ___.

The correct option is C $100^{\circ}$
The sum of opposite angles of a cyclic quadrilateral is $180^{\circ} .$

$\Rightarrow ∠ D A B + ∠ D C B = 180^{\circ}$

$\Rightarrow 80^{\circ} + x = 180^{\circ}$

$\Rightarrow x = 100^{\circ}$