Question

4)
In the adjoining figure,
line || line m || line n and t
and t, are transversals.
P 1
B В
em
(i) If PQ = 7, QR = 9
BC = 10.8 the find AB
R
→ n
(ii) If AB = 8.4, BC = 10.8
PR = 16 then find PQ and QR​

Answer 1

Answer:

Given:l∥m

sum of the interior angles on the same side of transversal is 180

∘

b+52

∘

=180

∘

⇒b=180

∘

−52

∘

=128

∘

And a=52

∘

∴a=52

∘

,b=128

∘

Answer 2

Answer:

mark me as brainliest

Step-by-step explanation:

Let us mark the points A and B on p; X and Y on q; P and Q on I; R and S on m. Suppose AB and XY intersect PQ at K

and L respectively.

Suppose AB and XY intersect RS at N and M respectively.

Since, pl|q and I is a transversal, then mZAKL+mZXLK = 180° (Interior angles on same side of transversal are

supplementary)

⇒80° + m/XLK = 180°

⇒mZXLK = 180° - 80°

⇒mZXLK = 100°

Since, PQ and XY are straight lines that

intersect at L, then

mZQLM = m/XLK (Vertically ⇒a= 100°

opposite angles)

Since, Im and p is a transversal, then

m/BNR = m ZAKL (Alternate exterior angles)

⇒c= 80°

Since, pllq and m is a transversal, then m/NMY= m/RNB (Corresponding

angles)

⇒b=c

⇒ b = 80°