help iso question

WrierJeffs

New member
Joined
Feb 25, 2010
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1
question follows:

As shown in the figure below, ?ABC is isosceles with the length of AB equal to the
length of AC. The measure of ?A is 40° and points B, C, and D are collinear. What is
the measure of ?ACD ?
A
40°
B C D

my initial answer was 140 but was wrong, since it's a iso-triangel shouldn't it equal to 180?
answer is 110 but I want to know why.
help me please!!!!
 
The sum of the angles of a triangle is 180°. Angle A is 40. So angle B + angle C is how much? And since the opposite sides are equal, what can be said about angles B and C?
 
the other angles of the triangle is 70. and like B, C, D they are colinear, therefore 180 - 70 = 110
 
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