Question

17. In the figure, if angle 1 =65°, find other angle. ​

Answer 1

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°