Respuesta :

genan

Answer:

x = 7

Step-by-step explanation:

corresponding interior angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line

one is an obtuse and one is an acute angle in which sum up to 180°

(120°) + (7x + 11) = 180°

120° + 7x + 11 = 180°

131° + 7x = 180°

131° - 131° + 7x = 180° - 131°

7x = 49°

7x/7 = 49°/7

x = 7°

plug x in to check:

7(7) + 11 = 49 + 11 = 60

Answer:

  • [tex]\bf x=7^o[/tex]

Step-by-step explanation:

When two parallel lines are crossed by a transversal, co-interior angles They are called co-interior angles.  The sum of the two angles on the same side of the transversal is always 180°.

[tex]\bf 120^o+7x+11=180^o[/tex]

[tex]\bf 7x+120+11=180[/tex]

[tex]\bf 7x+131-131=180-131[/tex]

[tex]\bf 7x=49[/tex]

[tex]\bf \cfrac{7x}{7}=\cfrac{49}{7}[/tex]

[tex]\bf x=7^o[/tex]

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