Question

 If line l is parallel to line m and ∠1 and ∠2 are a pair of interior angles lying on the same side of the transversal then they are. (1) equal (2) supplimentary (3) complementary (4) none of this​

Answer 1

Answer:

supplimentary

Step-by-step explanation:

angle 1 =angle 3 ( vertically opposite angles)

angle 3=angle 4( corresponding angles)

angle 2+angle 4=180

thus angle 1+ angle 2=180

Answer 2

Given :  line l is parallel to line m

∠1 and ∠2 are a pair of interior angles lying on the same side of the transversal

To Find : These angles are :

(1) equal (2) supplementary (3) complementary (4) none of this​

Solution:

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°)

Supplementary angles adds up to 180°

Complementary angles add up to 90°

∠1 and ∠2 are a pair of interior angles lying on the same side of the transversal

Hence they are Co-Interior angles

so They are  supplementary

Correct option is  

option 2) supplementary

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