Question

Углы AOB и BOC- смежные.Угол AOB больше угла BOC , на 20 градусов.Найти углы AOB и BOC

Answer 1

сумма смежных углов равна 180°.

180° - 20° = 160° - величина двух меньших углов ВОС

160° : 2 = 80° - величина угла ВОС

80° + 20° = 100° - величина угла АОС

Answer 2

Угол AOB=x+20
угол BOC=x
x+x+20=180
2x+20=180°
2x=180-20
2x=160
x=80
угол boc=80 угол aoc=100

Answer 3

Let's denote the measure of angle AOB as x. Since angle AOB is larger than angle BOC by 20 degrees, we can express the measure of angle BOC as x - 20.

Given that angles AOB and BOC are adjacent angles, we know that their sum is equal to 180 degrees. Therefore, we can set up the equation:

x + (x - 20) = 180

Simplifying the equation, we combine like terms:

2x - 20 = 180

Next, we isolate the variable by adding 20 to both sides:

2x = 200

Finally, we solve for x by dividing both sides by 2:

x = 100

Therefore, angle AOB (x) is 100 degrees, and angle BOC (x - 20) is 80 degrees.