Question

in the given figure ABCD is a cyclic quadrilateral the diagonal AC and BD are joined
if angle ACB is equal to 30 degree and angle BAC is equal to 35 degree find angle abc ​

Answer 1

∠ABC = 115°

Step-by-step explanation:

In the given figure,

Given,

∠BDC = 35° and ∠ACB = 30°

∠ADB =∠ACB (Angle in the same segment are always equal)

⇒∠ADB = 30°

Now,∠ADC = ∠ADB + ∠BDC

                   = 30° + 35°

                   = 65°

Also,∠ADC + ∠ABC = 180° (Opposite angles of a quadrilateral are always equal)

      65° + ∠ABC = 180°

        ∠ABC = 180°- 65°

         ∠ABC = 115°