in the figure below is the centre of the circle prove that angle X + angle Y is equal to angle Z. (Q2)
Attachments:
Answers
Answered by
0
Plz give a clear picture of the figure
Answered by
2
angle ACB= z/2 (degree measure theorem)
ANGLE BFC=180-y (linear pair)
z/2 +(180-y)+ angle FBC=180 (angle sum property in triangles)
angle FBC=180-180+y-z/2
=y-z/2
angle FCE= 180 - z/2
angle FBC =angle FAD (angles in the same segment)
In triangles ACE ,
x+180-z/2+y-z/2= 180 (angle sum property in triangles)
x+y-z=180-180
x+y=z hence proved
Mark my ans as the brainiest if u understood.
ANGLE BFC=180-y (linear pair)
z/2 +(180-y)+ angle FBC=180 (angle sum property in triangles)
angle FBC=180-180+y-z/2
=y-z/2
angle FCE= 180 - z/2
angle FBC =angle FAD (angles in the same segment)
In triangles ACE ,
x+180-z/2+y-z/2= 180 (angle sum property in triangles)
x+y-z=180-180
x+y=z hence proved
Mark my ans as the brainiest if u understood.
Similar questions