Question

In the given figure, if angle ABC = x°,
angle ACB = yº, then find angle BDC in terms of x and y.​

Answer 1

Answer:

In △ABC

∠BAC+∠ABC+∠ACB=180

o

(Angle sum property)

∠BAC+69

o

+31

o

=180

o

∠BAC=180

o

−100

o

=80

o

For segment BADCB,

VBDC and ∠BAC are angles in the same segment. So, they must be equal

∴ ∠BDC=∠BAC (Angles in the same segment are equal)

∠BDC=80