Question

Hey can anyone help pls thank you !

Answer 1

x = 16

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

Answer 2

x = 16

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)

`=> 8x + 5 + 4x - 17 = 180`

`=> 12x - 12 = 180`

`=> 12x = 180 + 12 = 192`

`=> x = (168)/(12) = 16`

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