# The following figures are not drawn to scale but ab and cd are straight lines. find x

x=45

Step-by-step explanation:

Since AB is a straight line, it is 180 degrees

AOE + EOF + FOD + DOB = 180

15+x+2x+120-2x = 180

Combine like terms

135 +x = 180

Subtract 135 from each side

135-135 +x = 180 -135

x = 45

x + 135 = 180

x = 180 - 135

x = 45

** all ur angles, when added together, make a straight line and are therefore equal to 180 degrees

angle AOD + 170=180 (sum of angles on a straight line)

angle AOD=180-170

angle AOD=10

Angle BOC(4x)+ 170= 180 (sum of angles on a straight line )

angle BOC(4x) =180-170

4x=10

4x/4=10/4

x=2.5

x = 45 degrees

Step-by-step explanation:

We know that total angle around a point is 360. This can be taken from fact that on a coordinate plane of x and y axis . total angle at origin is 360 in which

each quadrant subtends 90 degrees.

in the problem given

sum of all the angles around 0 will be 360 degrees

∠KOL IS RIGHT ANGLE

∠KOL = 90 degrees

∠LOM = x

∠MON = x

∠NOK = 4x

∠KOL + ∠LOM + ∠MON + ∠NOK = 360

90 + x + x + 4x = 360

6x = 360 - 90 = 270

=> x = 270/6 = 45

Thus, value of x is 45 degrees.

x = 60°

Step-by-step explanation:

From the figure and the fact that AB and CD are straight lines we can see that:

30° + 2x + ∠DOB = 180° (eq. 1)

x + ∠DOB = 90° (eq. 2)

Subtracting equation 2 to equation 1 we get:

30° + 2x + ∠DOB - (x + ∠DOB) = 180° - 90°

30° + x = 90°

x = 90° - 30°

x = 60°

we will work only in the first part wich means

360 divided by two is 180

so we will apply a first easy degree equation

15 + x + 2x + 120 - 2x = 180

135 + X = 180

X = 45

and then you will replace

2X =90

120-2x=180

X=30

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