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1)
In ∆ TNM & ∆ TNS,
∠TNM = ∠TNS (Right angles)
TM = TS ( given)
TN = TN (common)
∴ ∆ TNM ≅ ∆ TNS, by RHS congruency.
2)
Let the Joseph's weight be x.
Younger brother's weight = x/2
According to question,
x + x/2 = 63
2x + x = 126
3x = 126
x = 42
∴ Joseph's weight is 42 kg.
3)
4)
5(1 - 2x) = 9(1 - x)
5- 10x = 9- 9x
5-9 = -9x +10x
-4 = x
∴ x = -4
5) ∆BAC ≅ ∆XYZ
Congruent sides -
AB = YX
AC = YZ
BC = XZ
Congruent angles-
∠BAC = ∠XYZ
∠ABC = ∠YXZ
∠ACB = ∠YZX
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