50 points! I will mark brainliest! Find the value of x. Look at pic attached! Anyone who types random things or is just looking for points WILL BE REPORTED

50 points I will mark brainliest Find the value of x Look at pic attached Anyone who types random things or is just looking for points WILL BE REPORTED class=

Respuesta :

Answer:

[tex]x=29[/tex]

Step-by-step explanation:

The two pair of angles that are given values are supplementary, meaning they add up to [tex]180^{\circ}[/tex]. Therefore, we have the following equation:

[tex]2x-10+4x+16=180,\\6x+6=180,\\6x=174,\\x=\fbox{$29$}[/tex].

Answer:

[tex]\huge{ x=29° }[/tex]

Step-by-step explanation:

Here,

The two lines are parallel.

So,The angle (2x-10) and (4x+16) are corresponding. because these angles are the consecutive interior angles.

we know that,

Sum of corresponding angle =180°

According to the question,

[tex]\bold{(2x-10)+(4x+16)=180 }[/tex]

[tex]\bold{2x-10+4x+16=180 }[/tex]

[tex]\bold{ 6x+6=180 }[/tex]

[tex]\bold{6x=180-6 }[/tex]

[tex]\bold{ 6x=174 }[/tex]

[tex]\bold{ x=\dfrac{174}{6} }[/tex]

[tex]\bold{ x=29 }[/tex]

so,

value of x=29°

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