wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

In the figure, given below, AD = BC,

BAC=30 and

CBD=70. Find BCD


A

80

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B

30

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

50

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

10

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A

80


In the figure, ABCD is a cyclic quadrilateral AC and BD are its diagonals BAC=30 and CBD=70

CAD= CBD=70

Similarly BAC= BDC=30

BAD= BAC+ CAD=30+70=100

Now BCD+ BAD=180

(opposite angles of cyclic quad.)

BCD+100=180

BCD=180100=80


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Circles and Quadrilaterals - Cyclic quadrilaterals
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon