Луч ac делит развёрнутый угол man на два угла mfc и can. найдите градусную меру этих углов, если угол can меньше угла mac в 2, 6 раза.

х-угол can

2.6х-угол mac

х+2.6х=180

3.6х=180

х=180: 3.6

х=50 градусов-угол can.

2.6х=2.6*50=130 градусов-угол mac.

ответ: 50 градусов, 130 градусов.

пусть can - x, тогда mac - 2.6x

углы can u mac - смежные, а сумма смежных углов равна 180 гр

отсюда, х+2,6х=180

3,6х=180

х=50-саn

тогда mac=180-50=130гр

ответ: 50; 130

 

 

 

 

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