In a circle with centre 'O', if the angle subtended by an arc at the circumference ∠BCA=50
∘
, then what is the value of ∠BDA where D is another point on the same major arc segment?
- A40
∘ - B60
∘ - C50
∘ - D90
∘
Solution & Step-by-step Explanation
According to the angles subtended by the same arc property in geometry:
"Angles subtended by the same arc at the circumference in the same segment of a circle are equal."
Given that ∠BCA=50
∘
, the angle ∠BDA is in the same segment subtended by the same arc AB.
Therefore, ∠BDA=∠BCA=50
∘
.
"Angles subtended by the same arc at the circumference in the same segment of a circle are equal."
Given that ∠BCA=50
∘
, the angle ∠BDA is in the same segment subtended by the same arc AB.
Therefore, ∠BDA=∠BCA=50
∘
.