c. In AABC, BC is produced to D, LA = LB, LACD = 136° , find the measure of each angle of
the triangle with reasons.
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7th
Maths
The Triangle and Its Properties
Isosceles and Equilateral Triangles
In a triangle ABC, AB = AC....
MATHS
In a triangle ABC, AB=AC. The base BC is produced to D and ∠ACD=130
0
. Then ∠A equals
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ANSWER
Given: AB=AC, ∠ACD=130
∠ACD+∠ACB=180 (Linear pair)
130+∠ACB=180
∠ACB=50
∘
Now, In △ABC,
∠ABC=∠ACB=50 (Isosceles triangle property)
Sum of angles = 180
∠ABC+∠ACB+∠BAC=180
50+50+∠BAC=180
∠BAC=80
∘
Step-by-step explanation:
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