Respuesta :

gcantiga44

For x -

180 = 4x + 6 + 11x - 6

180 = 15x

[tex]\frac{180}{15}[/tex] = x

x = 12

For m∠ABD -

4(12) + 6

48 + 6

m∠ABD = 54

For m∠DBC -

11(12) - 6

132 - 6

m∠DBC = 126

aamaruf

Answer:

x = 12° ; m∠ABD= 54°    ; m∠DBC=126°

Step-by-step explanation:

∠ABD + ∠DBC = ∠ABC

Here ,

∠ABC is a straight line .

We know,

A straight angle is 180 degrees.

So,

∠ABD + ∠DBC = 180°

⇒(4x+6)° + (11x-6)° =180°                        [given]

⇒15x =180°

⇒x = (180/15)°      [divide both sides by 15]

∴ x = 12°

Now,

∠ABD = (4x+6)°         [given]

           ={(4 . 12) + 6 }°    

            =(48+6)°

            =54°  

And,

∠DBC = (11x-6)°                       [given]

           ={(11 .12)-6}°

           =(132 - 6)°

           =126°  

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