Answer:

45°

Step-by-step explanation:

Sum of all angles on a point = 360

90 + x + 2x + 3x = 360

6x = 270

x = 45

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Step-by-step explanation:

Here is your answer:

To find :

angles of AOB, AOD, COD

Given:

BOC = 90°

We know that,

Sum of angles of a circle = 360°

You can see that when we join all. the angles they form a circle

Therefore,

x + 2x + 3x + 90 = 360

6x + 90 = 360

6x = 360 - 90 ( ( +)90 becomes (-)90 when sent to other days)

6x = 270

x = 270 / 6

x = 45

Therefore, the angles will be

X = 45°

2X = 45 * 2 = 90°

3X = 45 * 3 = 135°

Hope it helps you.