Find the value of x.

Find the value of x.

SUM OF ANGLES ON STRAIGHT LINE = 180°

Angle AOD = - 10°

Angle DOC = 3 + 25°

Angle BOC = + 5°

The value of .

We know that,

➪ ∠ AOD + ∠ DOC + ∠ BOC = 180°

➪ - 10° + 3 + 25° + + 5° = 180°

Combining like terms, we have

➪ 5 + 20° = 180°

➪ 5 = 180° - 20°

➪ 5 = 160°

➪ =

➪ = 32°

Therefore, the value of is 32°.

Now,

I) ∠ AOD = - 10° = 32° - 10° = 22°

2) ∠ DOC = 3 + 25° = 3 x 32° +25° = 96° + 25° = 121°

3) ∠ BOC = + 5° = 32° + 5° = 37°

∠ AOD + ∠ DOC + ∠ BOC = 180°

✒ 22° + 121° + 37° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

30

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