Question

Ajuta ti ma ca nujjjjjjjj

Answer 1

Răspuns:

m(∡A) = m(∡C) = 50°

m(∡D) = m(∡B) = 130°

Explicație pas cu pas:

ABCD este paralelogram => ∡A ≡ ∡C  si ∡D ≡ ∡ B.

Suma masurilor unghiurilor unui paralelogram este egala cu 360°.

m(∡A) + m(∡C)  + m(∡D) + m(∡ B) = 360°

∡A ≡ ∡C => m(∡A) = m(∡C) = 50°

50° + 50°  + m(∡D) + m(∡ B) = 360°

100° + 2m(∡D)  = 360°

2m(∡D)  = 360° - 100°

2m(∡D) = 260°

m(∡D) = 260° : 2

m(∡D) = 130°

∡D ≡ ∡ B  => m(∡D) = m(∡B) = 130°

Succes!

Answer 2

$ABCD\text{ paralelogram}\Rightarrow m\sphericalangle A=m\sphericalangle C;\\m\sphericalangle A=m\sphericalangle C\Rightarrow m\sphericalangle C=50\°\\\\m\sphericalangle B, m\sphericalangle D=\dfrac{360-50-50}{2}=130\°.$