Respuesta :

gmany

Answer:

15

Step-by-step explanation:

∠6 and ∠7 are Alternate Interior Angles.

The lines l and m are parallel, therefore ∠6 and ∠7 are congruent.

m∠6 = m∠7 → 4x - 15 = x + 30        add 15 to both sides

4x = x + 45          subract x from both sides

3x = 45            divide both sides by 3

x = 15

Answer:

[tex]\angle 6 =45^{\circ}[/tex]

Step-by-step explanation:

We are given that l || m

[tex]\angle 6 = 4x-15[/tex]

[tex]\angle 7 = x+30[/tex]

Since l || m

So, [tex]\angle 6 = \angle 7[/tex] (Alternate interior angles are equal )

So, [tex]4x-15 =  x+30[/tex]

[tex]3x= 45[/tex]

[tex]x= 15[/tex]

[tex]\angle 6 = 4x-15=4(15)-15 = 45^{\circ}[/tex]

So, [tex]\angle 6 =45^{\circ}[/tex]

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