Question

Fie unghiurile ∡AOB si ∡COD opuse la varf.Alati masurile unghiurilor ,stiind ca:
a) 1/2 m(∡AOB) = 1/5 m(∡AOD)
b) m(∡AOC) = 5m(∡AOB).

Answer 1

∡AOD=180 ⇒1/2 ∡AOB=180:5=36 , ∡AOB=72 ⇒ ∡AOB=∡COD=72 , iar  ∡COA=∡BOD=180-72=108
 CAZUL b  ∡AOB=∡AOC=180     6  ∡AOB=180 ∡AOB=30 ⇒   ∡AOC=150