Question

A pair of angles which are on the same side of the transveral and inside the given parallel lines called a pair of ------------- angles
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Answer 1

Answer:

a pair of angles which are on the same side of the transversal and inside given Parallel Lines called parallel of consecutive interior angles.

Step-by-step explanation:

when a transversal intersects a pair of Parallel lines then

corresponding angles are equal

alternate interior angles are equal

alternate exterior angles are equal

interior angles on the same side of the transversal are supplementary

Study this equation.

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Answer 2

Given :   A pair of angles which are on the same side of the transversal and inside the given parallel lines called a pair of ------------- angles

To Find : Fill in the blanks

Solution:

Transversal line : A line which passes through two lines in the same plane at two distinct points.

Corresponding  angles : A pair of angles that occupy the same relative position at each intersection by a transversal line  

Co- Interior angles : A pair of angles that are on the same side of the transversal and inside the given lines

Interior alternate angles : A pair of angles on the inner side of each of those two lines but on opposite sides of the transversal  

Exterior alternate angles : A pair of angles on the outer side of each of  those two lines but on opposite sides of the transversal  

Hence A pair of angles which are on the same side of the transveral and inside the given parallel lines called a pair of Co-Interior  angles

or some time just Interior angles.

Correct answer is  Co-Interior  

Additional Info :

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

• Corresponding angles are congruent. ( Equal in Measure)

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

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

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