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What is the value of x?

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Two lines slightly inclined with horizontal intersect at the midpoint forming an obtuse angle. The above obtuse angle is labeled left square bracket 2 left parenthesis x plus 10 right parenthesis right square bracket degrees. The below obtuse angle is labeled left parenthesis 3 x minus 30 right parenthesis degrees.

What is the value of x? Enter your answer in the box. x = Two lines slightly inclined with horizontal intersect at the midpoint forming an obtuse angle. The abo class=

Answer :

Answer : The value of 'x' is, [tex]50^o[/tex]

Step-by-step explanation :

From the given figure we conclude that, the given angles are vertically opposite angles.

That means, the vertically opposite angles are equal.

[tex][2(x+10)]^o=(3x-30)^o[/tex]

Now rearranging the terms, we get:

[tex]2x+20=3x-30[/tex]

[tex]3x-2x=30+20[/tex]

[tex]x=50^o[/tex]

Therefore, the value of 'x' is, [tex]50^o[/tex]

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