Question

ABCD is a cyclic quadrilateral such that angle ADB =30 and angle DCA =80. then find angle DAB​

Answer 1

Answer:

The value of ∠DAB is 70°

Step-by-step explanation:

Given as :

ABCD is a cyclic quadrilateral

From figure

∠ADB = 30°

∠DCA = 80°

Let The ∠DAB = x°

Now,

∠DCA = ∠DBA = 80°     (angle on same segment)

So, In Δ ABD

The sum of all three angles = 180°

i.e ∠ADB + ∠ABD + ∠DAB = 180°

Or, ∠DAB = 180° - ( ∠ADB + ∠ABD )

Or,  ∠x = 180° - ( 30° + 80° )

Or,  ∠x = 180° - 110°

∴     ∠x = 70°

So, The value of ∠DAB = x = 70°

Hence, The value of ∠DAB is 70°  Answer

Answer 2

Answer:

here ur ans is attached

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