Question

In the given figure find Angle BDC in terms of x and y​

Answer 1

I hope it will help you

Answer 2

Given :-

• ∠ABC = x°
• ∠ACB = y° .

To Find :-

• ∠BDC in terms of x and y ?

Solution :-

in ∆ABC, we have,

→ ∠ABC + ∠ACB + ∠BAC = 180° (By angle sum Property of a ∆.)

→ x° + y° + ∠BAC = 180°

→ ∠BAC = 180° - (x° + y°)

now, we know that,

• All angles inscribed in a circle and subtended by the same chord are equal.

as we can see that,

• ∠BAC and ∠BDC are subtended by the same chord BC .

therefore,

→ ∠BAC = ∠BDC

hence,

→ ∠BDC = 180° - (x° + y°) (Ans.)

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