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

ABCD is a cyclic quadrilateral whose side AB is the diameter of the circle with centre O through A, B, C, D. If ADC=130, Calculate BAC.


A

90

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

40

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

50

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

70

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

The correct option is B

40


ADC+ABC=180 (opposite angles are supplementary in a cyclic quadrilateral)

130+ ABC=180

ABC=180130

= 50

ACB=90 (Angle in a semi circle)

In ΔABC

ABC+BCA+BAC=180

50+90+BAC=180

BAC = 180-140

= 40


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