Question

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

Answer 1

Answer:

$x=29$

Step-by-step explanation:

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

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

Answer 2

Answer:

$\huge{ x=29° }$

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,

$\bold{(2x-10)+(4x+16)=180 }$

$\bold{2x-10+4x+16=180 }$

$\bold{ 6x+6=180 }$

$\bold{6x=180-6 }$

$\bold{ 6x=174 }$

$\bold{ x=\dfrac{174}{6} }$

$\bold{ x=29 }$

so,

value of x=29°