if A+B=100° and C+A=110
Find ABC
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Step-by-step explanation:
As AB=AC hence ∠B=∠C (Equal sides AB=AC have equal opposite angles)
Using theorem, Sum of interior angles of a triangle is 180
o
.
Therefore ∠A+∠B+∠C=180
o
⇒110
o
+2∠B=180
o
[GIven ∠A=110
o
]
⇒∠B=35
o
Hence, ∠B=∠C=35
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Answer:
AB=AC
∠B=∠C [Angles opposite to equal sides are equal]
In △ABC,
∠A+∠B+∠C=180
o
100
o
+2∠B=180
o
∠B=40
o
Therefore,
∠B=∠C=40
o
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