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Side XY of triangle XYZ is extended to point W, creating a linear pair with ∠WYZ and ∠XYZ.

Triangle X Y Z. Point W extends from side X Y. Angle Z is 36 degrees, angle Y is x degrees, and exterior angle W Y Z is 100 degrees.

What is the value of x?

Respuesta :

MrRoyal

Answer:

[tex]x= 80^o[/tex]

Step-by-step explanation:

Given

[tex]\angle Z = 36^o[/tex]

[tex]\angle WYZ = 100^o[/tex]

Required

Find x

[tex]\angle WYZ[/tex] and x are on a straight line.

So:

[tex]\angle WYZ + x= 180^o[/tex]

Make x the subject

[tex]x= 180^o -\angle WYZ[/tex]

Substitute known value

[tex]x= 180^o -100^o[/tex]

[tex]x= 80^o[/tex]

Ver imagen MrRoyal
syuzysuz

Answer:

80 is correct

Step-by-step explanation:

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