ABCD is a cyclic quadrilateral whosediagonals intersect at a point E, if BAC is 30, further if AB is equal to BC find ECD
Answers
Answered by
0
Answer:
For chord CD,
∠CBD=∠CAD ...Angles in same segment
∠CAD=70°
∠BAD=∠BAC+∠CAD=30°+70°=100°
∠BCD+∠BAD=180° ...Opposite angles of a cyclic quadrilateral
⇒∠BCD+100°=180°
⇒∠BCD=80°
In △ABC
AB=BC (given)
∠BCA=∠CAB ...Angles opposite to equal sides of a triangle
∠BCA=30°
Also, ∠BCD=80°
∠BCA+∠ACD=80°
⇒30°+∠ACD=80°
∠ACD=50°
∠ECD=50°
Similar questions
Social Sciences,
23 days ago
Math,
23 days ago
Math,
23 days ago
Chemistry,
1 month ago
English,
9 months ago