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

(a) Derive the angle sum property of the triangle using the exterior angle property.

(b) AE is the angular bisector. 4=140,2=60,EAC=x. Find x.



[4 MARKS]

Open in App
Solution

(a) Steps: 1 Mark
Proof: 1 Mark
(b) Steps: 1 Mark
Result: 1 Mark


(a)


1, 2 and 3 are angles of triangle ABC and 4 is the exterior angle when BC is extended to D.
1 + 2 = 4 (Exterior Angle Property)
1 + 2 + 3 = 4 + 3 (Adding 3 to both sides)
Also, 3 + 4 = 180o (Linear Pair of angles)
1 + 2 + 3 = 180o


(b)

1 + 2 = 4 (Exterior Angle Property)
1+60=140
1=14060=80
Since AE is the angular bisector therefore EAC=12
x=802=40


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Intersecting Lines and Associated Angles
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon