Question

In the below figure, PQ||RS||UV. Find the value of y.​

Answer 1

Step-by-step explanation:

We have, c=75

∘

∴a=

5

2

c=

5

2

×75

∘

=30

∘

Now, UT∥PQ

⇒c=a+b (Alternate angles)

⇒75

∘

=30

∘

+b⇒b=75

∘

−30

∘

=45

∘

Also, PQ∥RS

∴b+d=180

∘

(Co-interior angles)

⇒d=180

∘

−45

∘

=135

∘

So, b+

2

d

=45

∘

+

2

135

∘

=45

∘

+67.5

∘

=112.5

∘

.