In Triangle ABC,AB=AC, ∟A:∟B=4:3,Find the value of ∟C
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Given : In Triangle ABC AB=AC,
∠A : ∠B = 4 : 3
To Find : value of ∠C
Solution:
In Triangle ABC,AB=AC,
∠B = ∠C angles opposite to equal sides are equal )
Let say ∠A = 4x
then ∠B = 3x as ∠A : ∠ B = 4 : 3
∠C = ∠B = 3x
∠A + ∠B + ∠C = 180°
=> 4x + 3x + 3x = 180°
=> 10x = 180°
=> x = 18°
∠C = 3x
=> ∠C = 3(18) = 54°
Value of ∠C = 54°
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