Question

In the given figure, find x ​

Answer 1

Answer:

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Answer 2

Answer:

40⁰

Step-by-step explanation:

In the given figure, All the abgle together form a straight line angle

Thus,

$\sf \bf :\longmapsto \angle AOD + \angle DOC + \angle BOC = 180⁰$

$\sf \bf :\longmapsto (x+30)^0 + (x+41)^0 + (x-11)^0 = 180^0$

$\sf \bf :\longmapsto x^0 + x^0 + x^0 + 30^0 + 41^0 - 11^0 = 180^0$

$\sf \bf :\longmapsto 3x^0 + 60^0 = 180^0$

$\sf \bf :\longmapsto 3x^0 = 180^0 - 60^0$

$\sf \bf :\longmapsto 3x^0 = 120^0$

$\sf \bf :\longmapsto x^0 = \dfrac{120^0}{3}$

$\boxed{\boxed{\sf \bf :\longmapsto x^0 = 40^0}}$