Question

Alfati masurile ughiurilor paralelogramului ABCD daca:

Answer 1

Răspuns:

Explicație pas cu pas:

a) ∡B=2∡C

∡B+∡C=180° ⇒ 2∡C+∡C=180° ⇒∡C=60°=∡A

∡B=∡D=2·60°=120°

b)∡A=∡B+20°

∡A+∡B=180° ∡B+20° +∡B=180° 2∡B=160°

∡B=80°=∡D ∡A=∡C=100°

c)∡D=∡C-10° ∡D+∡C=180° ∡C-10°+∡C=180°

2∡C=190° ⇒ ∡C=∡A=95°

∡B=∡D=85°

d)∡A=2∡B+18° 2∡B+18° +∡B=180° 3∡B=162°

∡B=∡D=54° ∡A=∡C=126°

e)∡D=∡A/2 ∡A/2+∡A=180° 3∡A=2·180°

∡A=∡C=2·60°=120° ∡B=∡D=60°

f)∡A=3∡B 3∡B+∡B=180° 4∡B=180°

∡B=∡D=45° ∡A=∡D=135°