Question

aflati masurile unghiurilor unui pararelogram stiind ca:
a) m (A)=3x-15 si m(D)= 2x+35
b) m(A)=5x-49 si m(C)=3x+21 

Answer 1

a) ABCD -paralelogram
mas<A= mas<C
mas<D=mas<B

mas <A +mas<D=180

3x-15+2x+35=180

5x+20=180

5x=180-20

5x=160

x=32

mas<A=mas<C=3*32-15=  96-15= 81 grade

mas<D=mas<B=2*32 +35= 64+35= 99 grade

b)ABCD-paralelogram
mas<A=mas<B
mas<C=mas<D

mas<A+mas<C=180

5x-49+3x+21=180

8x-28=180

8x=180+28

8x=208

x=26

mas<A=mas<B=5*26-49=  130-49= 81 grade
mas<C=mas<D= 3*26+21= 78+21= 99 grade