For what value of x in the figure points A,B,C and D are concyclic?

$9^{\circ}$
$12^{\circ}$
$10^{\circ}$
$11^{\circ}$

Question

For what value of x in the figure points A-B-C and D are concyclic-displaystyle 9-circ-displaystyle 12-circ-displaystyle 10-circ-displaystyle 11-circ-

Toppr Admin · Accepted Answer

In the given figure-xA0-x2220-ABC-x2220-ADC-180-x2218-x21D2-81-x2218-x-89-x2218-180-x2218-x21D2-x-170-x2218-180-x2218-x21D2-x-180-x2212-170-10-x2218-xA0-

For what value of x in the figure points A,B,C and D are concyclic?9∘12∘10∘11∘

In the given figure ∠ABC+∠ADC=180∘⇒81∘+x+89∘=180∘⇒x+170∘=180∘⇒x=180−170=10∘

For what value of x in the figure points A,B,C and D are concyclic?

$9^{\circ}$
$12^{\circ}$
$10^{\circ}$
$11^{\circ}$

In the given figure
$∠ A B C + ∠ A D C = 180^{\circ}$
$\Rightarrow 81^{\circ} + x + 89^{\circ} = 180^{\circ}$
$\Rightarrow x + 170^{\circ} = 180^{\circ}$
$\Rightarrow x = 180 - 170 = 10^{\circ}$