Question

2) If measurement of one of the angles formed when two parallel lines intersect by a transversal is 40", then the corresponding angle is

(A) 140*

(B) 80°

(C) 50°(D) 40°

Answer 1

Given : measurement of one of the angles formed when two parallel lines intersect by a transversal is 40॰

To Find  : corresponding angle

(A) 140*

(B) 80°

(C) 50°

(D) 40°

Solution:

Properties of angles formed by transversal line  with two parallel lines :

• Corresponding angles are congruent.  

• Alternate angles are congruent.  ( Interiors & Exterior  both )  

• Interior angles are supplementary. ( adds up to 180°)

Corresponding angles are congruent

Hence measurement of corresponding angles are equal

measurement of one of the angle = 40°

Hence measurement of  corresponding angle is  40°

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Answer 2

Step-by-step explanation:

If measurement of one of the angles formed when two parallel lines intersect by a transversal is 40", then the corresponding angle is