Question

1) cho goc bet xOy ve tia Oz sao cho goc yOz= 60*

a) tinh so do goc zOx

b) ve tia Om On lan luot la tia phan giac cua goc xOz , yOz hai goc zOm va zOn co quan he gi , giai thich vi sao ?

2) cho 2 goc ke bu xOy , yOz biet xOy =60*

a) tinh so do goc yOz

b) goi Oa la tia phan giac cua goc yOz , Ob la tia phn giac cua goc aOz goc bOx la goc gi , giai thich vi sao ?

3) cho goc xOy = 120* ve Oz la tia doi cua tia Ox ve tia Ot tren cung nua mat phang bo chua tia Ox sao cho goc zOt = 130*

a) tinh so do goc yoz

b) chung minh tia Oy nam giua hai tia Oz, Ot?

c) tinh so do goc xot

giup minh voi

Answer 1

Câu 1: 

a: \(\widehat{xOz}=180^0-60^0=120^0\)

b: \(\widehat{zOm}=\dfrac{120^0}{2}=60^0\)

\(\widehat{zOn}=\dfrac{60^0}{2}=30^0\)

Do đó: \(\widehat{zOm};\widehat{zOn}\) là hai góc phụ nhau