Respuesta :

Those are supplementary angles, therefore:

[tex]4x+5x=180\\9x=180\\x=20[/tex]

Answer:

  • [tex]x = 20 {}^ \circ[/tex]

Step-by-step explanation:

That are supplementary, means:

They add up to 180°.

Here is the same case.

Given angles are:

  • 4x & 5x

Solved:

  • [tex]4x + 5x = 180 {}^ \circ[/tex]

Combining them,

  • [tex]9x = 180 {}^{ \circ} [/tex]

Transposing 9 to RHS,

  • [tex]x = \cfrac{ \cancel{180} \: {}^{20} }{ \cancel9} [/tex]

  • [tex]x = 20[/tex]

Hence, value of x is 20.