CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

In the figure below, ΔABC is anequilateral triangle and EC = CD. What is the measure of EDC?


A

60

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

50

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

40

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

30

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

The correct option is D

30


Since ΔABC is equilateral, ABC=ACB=CAB=60.

By exterior angle property in CDE,ACB=CED+EDC(1)

Since CE = CD, CDE is isosceles.

Angles opposite to equal sides areequal in an isosceles triangle.
CED=EDC

Substituting in equation (1), we getACB=2EDC60=2EDCEDC=602EDC=30


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