Question

Aflati masuril;e unghiului paralelogramului ABCD daca: a) m(<A) =3 ori m(<B) b) m(<A) =5 ori m(<D) c) m(<B)=2 supra 3 ori m(<A) d)m (<C) =3 supra 7 ori m(<B)

Answer 1

Intr-un paralelogram <A=<C si <B=<D=>
Daca <A+<B+<C+<D=360
=> <A+<B=180

a) <A=3*<B => 3*<B+B=4*<B=180=> <B=45 =<D, iar <A=3*45=135=<C

b)<A=5*<D
<A+<D=180
5*<D+<D=6*<D=180=> <D=30=<B => <A=5*30=150=<C

c)<B=2/3*<A=> 3*<B=2*<A
2*<A+2*<B=360
3*<B+2*<B=5*<B=360
=> <B=72 =<D  =>
<A=180-72=108=<C