Answer:
[tex]\angle X = 60\°[/tex]
Step-by-step explanation:
By given we know
[tex]\angle Z = 2x-4[/tex]
[tex]\angle Y = 5y[/tex]
Also, we know that the given figure is an equilateral triangle by definition, because all sides are equal.
So, that means all three angles are equal by the theorem of equilateral triangles.
[tex]\angle Z = \angle Y = \angle X\\[/tex]
Having said that, by sum of angles, we know that all three internal angles must sum 180°. But, in case of an equilateral triangle, all angles are equal to 60°, because 180° has to be divided equally by three.
Thereofore,
[tex]\angle X = 60\°[/tex]
