Question

prove that 1/a + 1/b= 1/c if pq is perpendicular qs, tu is perpendicular qs and rs is perpendicular​

Answer 1

Answer:

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  

∘

Step-by-step explanation: