Question

In the given fig.< = 690 , < = 310 , find < BDC.​

Answer 1

Answer:

∠BDC=80°

Step-by-step explanation:

In △ABC

∠BAC+∠ABC+∠ACB=180° (Angle sum property)

∠BAC+69° + 31° = 180°

∠BAC = 180° - 100° = 80°

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°