xét tứ giác MNPQ có góc M+ góc N+ góc P + góc Q=360⁰

=>góc M+85⁰+120⁰+70⁰=360⁰

=>góc M=360⁰-275⁰=85⁰

vậy...

\(\widehat{M}=360^0-80^0-55^0-60^0=165^0\)

Ta có:

∠M + ∠N + ∠P + ∠Q = 360⁰ (tổng các góc trong tứ giác MNPQ)

⇒ ∠M + ∠N + ∠P + (∠P + 10⁰) = 360⁰

⇒ ∠M + ∠N + (∠N + 10⁰) + (∠N + 10⁰ + 10⁰) = 360⁰

⇒ ∠M + (∠M + 10⁰) + (∠M + 10⁰ + 10⁰) + (∠M + 10⁰ + 10⁰ + 10⁰)

⇒ ∠M + ∠M + 10⁰ + ∠M + 20⁰ + ∠M + 30⁰ = 360⁰

⇒ 4∠M + 60⁰ = 360⁰

⇒ 4∠M = 360⁰ - 60⁰

⇒ 4∠M = 300⁰

⇒ ∠M = 300⁰ : 4

⇒ ∠M = 75⁰

⇒ ∠N = 75⁰ + 10⁰ = 85⁰

⇒ ∠P = 85⁰ + 10⁰ = 95⁰

⇒ ∠Q = 95⁰ + 10⁰ = 105⁰

\(\widehat{M}+\widehat{N}+\widehat{P}+\widehat{Q}=360^o\)

\(\widehat{M}+\widehat{M}+10+\widehat{M}+20+\widehat{M}+30=360\)

\(4\widehat{M}=360-60=300\Rightarrow M=75^o\)

Theo đề bài : A^=B^+10*

B^=C^+10*

C^=D^+10*

<=> A^- 10* =C^ +10*

B^- 10* = D^ + 10*

Mà A^+B^+C^+D^=360*

=> A^ - 10*+C^ +10* <=> B^ (+10*-10*)+D^+10*+10* 

=>2(A^-10*+C^+10*)=360*

=>A^-10*+C^+10*=180*

Ta có : A^-10*=C^+10* =>A^=C^+10*+10*

=> A^=(180*+10*+10*):2=100*

=>C^=180*-100*=80*

=>B^=80*+10*=90*

=>D^=360*-100*-90*-80*=90*

Vậy ....