Question

AJUTORRRR AM NEVOIE URGENT DE RASPUNS CORECT VA ROG DIN SUFLET DAU TOT CE VRETI❤​

Answer 1

Răspuns:

Explicație pas cu pas:

∡B = 2/3 ·∡A

∡C = 1/6 ·∡A

∡D = 1 1/4 ·∡B = (1·4+1)/4 ·∡B = 5/4 ·∡B = 5/4·2/3 ·∡A = 5/6 ·∡A

∡A+∡B+∡C+∡D = 360°  <=>

⁶⁾∡A+ ²⁾2/3·∡A + 1/6·∡A + 5/6·∡A = ⁶⁾360°  =>

6·∡A+4·∡A+1·∡A+5·∡A = 2160° =>

16·∡A = 2160° =>

∡A = 2160°:16 =>

∡A = 135°

∡B = 2/3 ·135° = 270/3 = > ∡B = 90°

∡C = ∡A/6 = 135°/6 => ∡C = 22°30'

∡D = 5/6·135° = 675°/6 => ∡D = 112°30'