English

Abcd Is a Cyclic Quadrilateral In ∠Dbc = 80° and ∠Bac = 40°. Find ∠Bcd. - Mathematics

Advertisements
Advertisements

Question

ABCD is a cyclic quadrilateral in  ∠DBC = 80° and ∠BAC = 40°. Find ∠BCD.

Short Note

Solution

(ii) It is given that BC || AD ,`angleDBC ` = 80°   and `angle BAC` = 40° 

We have to find `angleBCD`

 `angleBAC = angleBDC `= 40°            (Angle in the same segment are equal)

`angleDCB = `180°  - (80°  + 40° )

              = 180°  - 120° 

              = 60°   

Hence, `angle BCD ` = 60°   

shaalaa.com
  Is there an error in this question or solution?
Chapter 15: Circles - Exercise 15.5 [Page 103]

APPEARS IN

RD Sharma Mathematics [English] Class 9
Chapter 15 Circles
Exercise 15.5 | Q 18.2 | Page 103

Video TutorialsVIEW ALL [1]

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×