Question

Ex 17 urgennntt va rooog

Answer 1

a)

m(∡A)/6=m(∡B)/7=m(∡C)/10=m(∡D)/13=k

m(∡A)/6=k=>m(∡A)=6k

m(∡B)/7=k=>m(∡B)=7k

m(∡C)/10=k=>m(∡C)=10k

m(∡D)/13=k=>m(∡D)=13k

m(∡A)+m(∡B)+m(∡C)+m(∡D)=360°<=>6k+7k+10k+13k=360°<=>36k=360°=>k=360°/36=>k=10

m(∡A)=6k=6*10=60°=>m(∡A)=60°

m(∡B)=7k=7*10=70°=>m(∡B)=70°

m(∡C)=10k=10*10=100°=>m(∡C)=100°

m(∡D)=13k=13*10=130°=>m(∡D)=130°

b)

m(∡A)/8=m(∡B)/9=m(∡C)/13=m(∡D)/15=k

m(∡A)/8=k=>m(∡A)=8k

m(∡B)/9=k=>m(∡B)=9k

m(∡C)/13=k=>m(∡C)=13k

m(∡D)/15=k=>m(∡D)=15k

m(∡A)+m(∡B)+m(∡C)+m(∡D)=360°<=>8k+9k+13k+15k=360°<=>45k=360°=>k=360°/45=8

m(∡A)=8k=8*8=64=>m(∡A)=64°

m(∡B)=9k=9*8=72°=>m(∡B)=72°

m(∡C)=13k=13*8=104°=>m(∡C)=104°

m(∡D)=15k=15*5=120°=>m(∡D)=120°

Answer 2

Suma măsurilor unghiurilor într-un patrulater convex este egala cu 360°.