Respuesta :

Answer:

x = 16

Step-by-step explanation:

The angle vertically opposite (4x - 17) is also (4x - 17) , then

4x - 17 and 8x + 5 are same- side interior angles and sum to 180° , that is

4x - 17 + 8x + 5 = 180

12x - 12 = 180 ( add 12 to both sides )

12x = 192 ( divide both sides by 12 )

x = 16

Tekashii

Answer:

x = 16

Step-by-step explanation:

From the diagram (attached along with answer) ,

∠ABY = 8x + 5

∠ZYQ = 4x - 17

∠ABY = ∠XYQ = 8x + 5 (∵ Corresponding angles are equal)

∠XYQ + ∠ZYQ = 180° (∵ Linear pair)

[tex]=> 8x + 5 + 4x - 17 = 180[/tex]

[tex]=> 12x - 12 = 180[/tex]

[tex]=> 12x = 180 + 12 = 192[/tex]

[tex]=> x = \frac{168}{12} = 16[/tex]

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