👤

Answer :

This is a supplementary equation, so that means both of the equations added together would be 180 degrees. Therefore, you simply add them together to make them equal 180: 17x+14+4x-2=180.

therefore x=8.

you can check it by plugging 8 into both equations. 17(8)+14=150 and 4(8)-2=30

150+30 is 180

your answer is x=8

hope this helps!! :)
QueenOfAttitudego

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

Here,

The two lines l and m are parallel,

cut by a transversat line t

So The two angles are supplementary each other.

we know that,

The sum of two supplementary angles are 180°

According to the question,

  • (17x+14)°+(4x-2)°=180°

  • 17x+14°+4x-2°=180°

  • 17x+4x+14°-2°=180°

  • 21x+12°=180°

  • 21x=180°-12°

  • 21x=168°

  • x=168°/21

  • x=8°

Therefore,

The value of x is 8°

Go Teaching: Other Questions