7. In the given figure, ∠1 = ∠2 then the measurements of ∠3 and ∠4
are:
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Answer : Let ∠1 & ∠2 be x and y.
58+x+y = 180 (Sum of all ∠s of Δ is 180)
58+2x = 180 (∠1 = ∠2 Given)
2x = 180 - 58
2x = 122
x = 122/2
x = 61 = y = 61
∠1 + ∠3 = 180
61 + ∠3 = 180
∠3 = 180 - 61
∠3 = 119
∠2 + ∠4 = 180
61 + ∠4 = 180
∠4 = 180 - 61
∠4 = 119
Therefore ∠3 = 119 and ∠4 = 119
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