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

What is the sum of all the exterior angles of a triangle?


A

360

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

100

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

540

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

180

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

The correct option is A

360


By the exterior angle property, ACD=BAC+ABC...(i)BAE=ABC+ACB...(ii)CBF=ACB+BAC...(iii)

Sum of exterior angles of ABC
= ACD+BAE+CBF = 2(ABC+ACB+BAC)

We know that, ABC+BAC+ACB=180(Angle sum property)

Sum of exterior angles=2×(180)=360


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