Find Angle Between Two Lines In A Rectangle 


Figure shows a rectangle, also two circles are inscribed like this


Also radius of circles are 1 cm then find ∠POQ


Soluton - Finding Angle POQ



From figure 

PG = 2 cm

GO = 3 cm

Tan(∠POG) = PG/GO = 2/3 

So ∠POG = 33.69°

also BQ = 1 cm

OB = 2 cm

Tan(∠BOQ)= BQ/OB = 1/2

∠BOQ = 26.56

Then ∠POQ = ∠BOG – ∠BOQ – ∠POG

∠POQ = 90 – 33.69 – 26.56 = 29.75°