Question

what is the value of x is here

Answer 1

angle AOD+angle DOC+angle BOC=180°
4x+30°+5x-10°+6x+40°=180°
15x+60°=180°
15x=120°
x=8°

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Answer 2

Heres your answer

As AOB is a straight line so its Sum is 180°

angle AOD+ DOC+COB= 180

$so \: \\ 4x + 30 + 5x - 10 + 6x + 40 = 180 \\ \\ 9x + 6x + 30 - 10 + 40 = 180 \\ \\ 14x + 60 = 180 \\ \\ 15x = 180 - 60 \\ \\ 15x = 120 \\ \\ x = \frac{120}{15} = 8 \\ \\ value \: of \: x \: is \: 8$

As 4x+30= 32+30 = 62°

5x-10= 40-10=30

and 6x+40= 48+40= 88

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