Question

Calculati masurile unghiurilor ptatrulaterului convex ABCD, stiind ca:
m(∡A)=1,25 · m(∡C) ; m(∡C)=0,(6) · m(∡B) si m(∡D)=0,1(6) · m(∡B).

Answer 1

m (A)=1 supra 4 * m (C)
rezulta m (A)=1 supra 6 *m (B)
m (C)=2supra 3 * m (B)
m (D)=1 supra 6 * m (B)
m (A) + m (B) + m (C) + m (D)= 360
1 supra 6 *m (B) +m (B)+2 supra 3 m *(B) +1 supra 6 *m (B) = 2*m (B)=360 rezulta m (B)= 180
m (A)= 30
m (C)= 120
m (D)= 30