Question

In the figure O is the location of the mother dairy from where the milk is
to be supplied to the four booths A, B, C & D. If the angle between booth
B&C, C&D and D & Aare in the ratio 2:1:3, find the angles.
​

Answer 1

90+ 6x= 360

6x= 270

x= 45 deg

angle between B and C = 2x =90deg

Cand D= 45deg

D and A= 3x = 135 deg

pls mark brainliest

Answer 2

The angle between -

B and C = 90°

C and D = 45°

A and D = 135°

GIVEN

Angle BOC:COD: AOD = 2: 1 :3

TO FIND

Value of the angles.

SOLUTION:

We can simply solve the above problem as follows-

we are given the Ratio of the three angles.

Let the common dividend be, x

Angel BOC = 2X

Angle COD = X

Angle AOD = 3X

Since OA and OB are perpendicular to each other,

So, Angle AOB = 90°

We know the angle of a complete turn = 360°

So,

BOC + COD + AOD + AOB = 360°

Putting the values in the above equation, we get,

2x + x + 3x + 90 = 360

6x = 360-90 = 270

x = 270/6

x = 45

Putting the value of x

Angel BOC = 2 × 45 = 90°

Angle COD = 45°

Angle AOD = 3 × 45 = 135°

Hence, The angle between

B and C = 90°

C and D = 45°

A and D = 135°

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