Question

find the angles
plz step by step ​

Answer 1

Step-by-step explanation:

Let the point of intersection of all rays be O

Angle AOD + Angle DOC + Angle COB = 180 (Linear pair)

8x + 7x + 22 + (3x - 4) = 180

8x + 7x + 22 + 3x - 4 = 180

Group the like terms

8x + 7x + 3x = 180 - 22 + 4

18x = 162

x = 162/18

x = 9

Therefore,

Angle AOD = 8x = 8 × 9 = 72

Angle DOC = 7x + 22 = 7 × 9 + 22 = 85

Angle COB = 3x - 4 = 3 × 9 - 4 = 23

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Answer 2

Step-by-step explanation:

Ok so the angles given here are 8x,7x+22,3x-4

We know that a straight angle(line) is = 180°

So,

(8x) + (7x +22) + (3x - 4) = 180° (Angles on a straight line)

Open the brackets and rewrite the equation,

8x + 7x + 22 + 3x - 4 = 180°

Now evaluate,

8x + 7x + 3x + 22 - 4 = 180°

18x + 18 = 180°

18x = 180 - 18

18x = 162

x = 162/18

x = 9

We got the value of x as 9. So we can easily calculate the angles now.

First Angle = 8x = 8 * x = 8 * 9 = 72°

Second Angle = 7x+22 = 7*x+22 =7*9+22 = 63+22 =85

Third Angle = 3x-4 = 3*x-4 = 3*9-4= 27-4 = 23