wiz-icon
MyQuestionIcon
MyQuestionIcon
17
You visited us 17 times! Enjoying our articles? Unlock Full Access!
Question

TriangleABC is isosceles with AB=AC. The measure of BAD is 30 and AD=AE. The measure of EDC is
291816.bmp

A
5
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
10
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
15
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
20
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 15
In ABC
AB=AC
B=C (isosceles triangle property) (1)
ADC=B+30 (Exterior angle property) (2)
Also, AED=EDC+C (Exterior angle property)
AED=EDC+B (From 1)
Now, given, AD=AE
hence, ADE=AED (Isosceles triangle property)
Thus, ADE=EDC+B
ADE+EDC=2EDC+B
ADC=2+B
B+30=2EDC+B (From 2)
EDC=15

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