Q5 C of 16 Page 88

Examining the measurement of the angles given below let’s conclude logically AB&CD are parallel.



As we know that if two lines are parallel and cut by a transversal then the corresponding angles are equal,


Alternate interior angles are equal


Alternate exterior angles are equal,


Sum of co-interior angles is 180°.


∠6=∠2=75° (corresponding angles)


∠4=∠8=95° (corresponding angles)


Now,


Sum of co-interior angles = 75° +95° =170° ≠180°


So, AB is not parallel to CD.


More from this chapter

All 16 →
5 A

Examining the measurement of the angles given below let’s conclude logically AB&CD are parallel.


 5 B

Examining the measurement of the angles given below let’s conclude logically AB&CD are parallel.


 6

In the figure AB||CD and

∠EGB=50°; then write the measurement of ∠AGE, ∠AGH, ∠BGH, ∠GHV, ∠GHD,


∠CGF and ∠DHF.



 7

In the figure beside AB||CD; let’s write the measurement of ∠PQR.