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In Fig., it being given that ∠1 = 65°, find all other angles. |
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Answer» Given from the figure, ∠1 = ∠3 are the vertically opposite angles Therefore, ∠3 = 65° Here, ∠1 + ∠2 = 180° are the linear pair [The two adjacent angles are said to form a linear pair of angles if their non–common arms are two opposite rays and sum of the angle is 180°] Therefore, ∠2 = 180° – 65° = 115° ∠2 = ∠4 are the vertically opposite angles [from the figure] Therefore, ∠2 = ∠4 = 115° And ∠3 = 65° |
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