Question

THINK, DISCUSS AND WRITE P In Fig 5.20, AC and BE intersect at P. AC and BC intersect at C, AC and EC intersect at C. Try to find another ten pairs of intersecting line segments. B Should any two lines or line segments necessarily intersect? Can you find two pairs of non-intersecting line segments in the figure? Can two lines intersect in more than one point? Think about it. E А Fig 5.20​

Answer 1

Answer:

Correct option is

D

100

o

Given: PA=6 cm, PB=3 cm, PC=2.5 cm, PD=5 cm

PD

PA

=

5

6

PC

PB

=

2.5

3

=

5

6

Thus,

PD

PA

=

PC

PB

In △APB and △DPC,

PD

PA

=

PC

PB

...Given

∠APB=∠DPC ...Vertically opposite angles

Hence, △APB∼△DPC ....S.A.S test of similarity

Hence, ∠A=∠D=30

o

Now, In △APB,

Sum of angles =180

o

∠A+∠B+∠APB=180

30+50+∠B=180

o

∠B=100

∘