Question

va rog. cu rezolvare completa

Answer 1

a)

A/3=B/4=C/8=D/9=k

A/3=k=>A=3k

B/4=k=>B=4k

C/8=k=>C/8k

D/9=k=>D=9k

A+B+C+D=360°

3k+4k+8k+9k=360°

24k=360°=>k=15°

A=3k=3•15°=45°

B=4k=4•15°=60°

C=8k=8•15°=120°

D=9k=9•15°=135°

b)

A=0,5B=0,(3)C=0,25D=k

A=k

0,5B=k<=>B/2=k=>B=2k

0,(3)C=k<=>C/3=k=>C=3k

0,25D=k<=>D/4=k=>D=4k

A+B+C+D=360°

k+2k+3k+4k=360°<=>10k=360°=>k=36°

A=k=36°

B=2k=2•36°=72°

C=3k=3•36°=108°

D=4k=4•36°=144°