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Question
In the figure, given that ∠1 = ∠2 and ∠3 ≡ ∠4. Prove that ∆MUG ≡ ∆TUB
Solution
| Statements | Reasons |
|
1. In ΔMUG and ΔTUG MU = TU |
∠3 = ∠4, opposite sides of equal angles |
| 2. UG = UB |
∠1 = ∠2 Side opposite to equal angles are equal |
| 3. ∠GUM = ∠BUT | Vertically opposite angle |
| 4. ∆MUG ≡ ∆TUG |
SAS criteria By 1, 2 and 3 |
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