Question

VA ROOOG 50 DE PUNCTE REZOLVAREA COMPLETA
​

Answer 1

m(∡A)+m(∡B)+m(∡ACB)=180°

m(∡B)=2*m(∡ACB)

Fie m(∡A)=x; m(∡B)=y, m(∡C)=z

x+y+z=180°

90°+y+z=180°

y+z=180°-90°=90°

y=2z⇒y+z=2z+z=3z

3z=90°⇒z=90°/3=30°

⇒m(∡ACB)=30°

m(∡ACB)+m(∡BCD)=180°

⇒m(∡BCD)=180°-30°=150°