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

Find the sum of all the exterior angles of a triangle.


A

60°

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

90°

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

360°

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

180°

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

The correct option is C

360°


In the above figure shown, 1, 2 and 3 are the interior angles whereas 4, 5 and 6 are exterior angles. Using linear pair axiom, we can say that:
1 + 4 = 180
3 + 6 = 180
2 + 5 = 180
Adding all of them, we get:
(1 + 4) + (3 + 6) + (2 + 5) = 540
Rearranging the terms, we get:
(1 + 2 + 3) + (4 + 5 + 6) = 540
1 + 2 + 3 = 180 (Angle Sum Property of a triangle)
So, (4 + 5 + 6) = 540 - 180 = 360
So, the sum of the exterior angles of a triangle is 360.


flag
Suggest Corrections
thumbs-up
23
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Triangles_Tackle
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon