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

In the given figure, ABC is isosceles triangle with AB=AC, BCD=20. The measure of ACB is equal to


A

100
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

80
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

60
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

70
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D
70
AB=AC (Given)BCD=20 (Given)In ΔDEC, by Angle sum property ADC+DEC+BCD=180ADC+90+20=180(DEC=90 and BCD=20)ADC=70 Now, angles subtended by a chord in the same segment are equal.

thereforeABC=ADC=70Also, ACB=ABC (AB=AC)ACB=70

Hence, the correct answer is option (d).

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Circles and Their Chords - Theorem 1
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon