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Giải bài 3 (3.3) trang 38 vở thực hành Toán 7

Bài 3 (3.3). Vẽ góc xOy có số đo \({60^o}\). Vẽ tia Om là tia đối của tia Ox. a) Viết tên hai góc kề bù có trong hình vừa vẽ. b)Tìm số đo góc yOm c) Vẽ tia Ot là tia phân giác của góc xOy. Tính số đo các góc tOy và tOm.

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Đề bài

Bài 3 (3.3).💜 Vẽ góc xOy có số đo \({60^o}\). Vẽ tia Om là tia đối của tia Ox.

a) Viết tên hai góc kề bù có trong hình vừa vẽ. b)Tìm số đo góc yOm c) Vẽ tia Ot là tia phân giác của góc xOy. Tính số đo các góc tOy và tOm.

Phương pháp giải - Xem chi tiết

Vẽ hình và xác định cặp góc kề bù.

Lời giải chi tiết

a) Hai góc kề bù là góc mOy và góc xOyb) Ta có \(\widehat {mOy} + \widehat {xOy} = {180^o}\)(hai góc kề bù)\(\begin{array}{l}\widehat {mOy} + {60^o} = {180^o}\\\widehat {mOy} = {180^o} - {60^o} = {120^o}\end{array}\)c) Vì tia Ot là tia phân giác của góc xOy nên ta có \(\begin{array}{l}\widehat {tOy} = \widehat {tOx} = \frac{1}{2}.\widehat {xOy}\\ \Leftrightarrow \widehat {tOy} = \widehat {tOx} = \frac{1}{2}{.60^o} = {30^o}\end{array}\)nên \(\widehat {tOy} = {30^o}\).Ta có \(\widehat {mOt} + \widehat {xOt} = {180^o}\)(hai góc kề bù)\(\begin{array}{l}\widehat {mOt} + {30^o} = {180^o}\\\widehat {mOt} = {180^o} - {30^o} = {150^o}\end{array}\)

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