If ABCD is a cyclic quadrilateral- then x - nbsp- - nbsp- 80-120-90-100-

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^∘ ...

Byju's Answer

Standard X

Mathematics

Sum of Opposite Angles of a Cyclic Quadrilateral

If ABCD is a ...

Question

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

120^{\circ}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

90^{\circ}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

100^{\circ}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

80^{\circ}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

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

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

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

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

Suggest Corrections

Similar questions

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

If ABCD is a cyclic quadrilateral, what will be the value of $x$ (in degrees)?

Q. If ABCD is a cyclic quadrilateral and

∠ A = 90^{\circ} - x^{\circ}

, then

∠ C =

Q. If ABCD is a cyclic quadrilateral and

∠ A = 120 ° - x °,

then

∠ C =

Q. If ABCD is a cyclic quadrilateral and

∠ A = 120 ° - x °,

then

∠ C =

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

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

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

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

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