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a) Ta có: x O z ^ = 90 ° = > z O y ^ = 30 °
Do y O t ^ = 90° nên t O z ^ = 60°.
b) Vì Om, On lần lượt là phân giác
của y O z ^ và x O t ^ nên:
m O z ^ = n O t ^ = 15°.
Do đó: m O n ^ = m O t ^ + t O z ^ + z O n ^ = 15° + 60° +15° = 90°
a)Vì tia Oy và tia Oz cùng nằm trên nữa bờ mặt phẳng chứa tia Ox
Mà xÔz < xÔm(20 0 < 100 0) ⇒tia Om nằm giữa 2 tia Ox và Ôz
⇒xÔz + zÔy = xÔy
thay số: 20o + 100o =zÔy
zÔy = 100 0 - 20o
zÔy = 80o
b) Vì tia Om là tia phân giác của zÔy
⇒ zÔm và mÔy = \(\frac{zÔy}{2}=\frac{80}{2}\) =40o
⇒ xÔz + zÔm = xÔm
Thay số :20o + 40o =60o
Câu hỏi của nguyễn thị hiền - Toán lớp 6 - Học toán với OnlineMath
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, vẽ tia Oz bất kì nằm trong góc đó sao cho format('truetype')%3Bfont-weight%3Anormal%3Bfont-style%3Anormal%3B%7D%3C%2Fstyle%3E%3C%2Fdefs%3E%3Cline%20stroke%3D%22%23000000%22%20stroke-linecap%3D%22square%22%20stroke-width%3D%221%22%20x1%3D%221.5%22%20x2%3D%2214.5%22%20y1%3D%225.5%22%20y2%3D%223.5%22%2F%3E%3Cline%20stroke%3D%22%23000000%22%20stroke-linecap%3D%22square%22%20stroke-width%3D%221%22%20x1%3D%2214.5%22%20x2%3D%2227.5%22%20y1%3D%223.5%22%20y2%3D%225.5%22%2F%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%224.5%22%20y%3D%2219%22%3Ey%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%2214.5%22%20y%3D%2219%22%3EO%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%2224.5%22%20y%3D%2219%22%3Ez%3C%2Ftext%3E%3Ctext%20font-family%3D%22math123919e9c7f188e0f3ae690e7e2%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2237.5%22%20y%3D%2219%22%3E%3D%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2255.5%22%20y%3D%2219%22%3E56%3C%2Ftext%3E%3Ctext%20font-family%3D%22math123919e9c7f188e0f3ae690e7e2%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2268.5%22%20y%3D%2219%22%3E%26%23xB0%3B%3C%2Ftext%3E%3C%2Fsvg%3E)
. Gọi Om là tia phân giác của các góc 
. Tính số đo
Theo đề ra: Góc yOx = 116 độ
Góc yOz = 56 độ
=> Góc yOx > góc yOz => Tia Oz nằm giữa hai tia Ox và Oy
Ta có: xOz + yOz = xOy
xOz + 56 độ = 116 độ
xOz = 60 độ
Theo đề ra: Tia Om là tia phân giác của góc xOz
=> Góc mOz = góc xOz : 2
=> Góc mOz = 60 độ : 2
=> Góc mOz = 30 độ
Ta có: mOy = mOz + yOz
mOy = 30 độ + 56 độ
mOy = 86 độ