3. If one of the angles of a pair of interior angles on the same side of the transversal of two parallel lines is 60° then the other angle is
a) 30° b) 40° C 90° (d) 120°
Answers
Answer:
option D is correct
Step-by-step explanation:
hope it helps you
Concept: Interior angles are those that are located within the confines of two parallel lines that are intersected by a transversal. In the given figure below, ∠1, ∠2, ∠3 and ∠4 are interior angles.
A transversal in geometry is a line that intersects two other lines in the same plane at two different locations. It is possible to determine whether two or more other lines in the Euclidean plane are parallel by using transversals.
Lines that are parallel to one another on a plane do not intersect or meet at any point. They are always equidistant from one another and parallel. Non-intersecting lines are parallel lines. Parallel lines can also be said to meet at infinity.
Given: one of the angles of a pair of interior angles on the same side of the transversal of two parallel lines is 60°
To find: the other angle
Solution: [refer the figure for clear explanation]
In the figure ∠1 and ∠3 are pair of interior angles on the same side of the transversal. let ∠1 be 60°. We need to find out ∠3. As we know that sum of angles on a straight line is equal to 180°.
Therefore,
∠1 + ∠3 = 180°
60° + ∠3 = 180°
∠3 = 180° - 60°
∠3 = 120°.
Hence, if one of the angles of a pair of interior angles on the same side of the transversal of two parallel lines is 60° then the other angle is 120°.
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