Respuesta :

Answer:

The value of x is  1°

Step-by-step explanation:

Given as :

The figure is the combination of isosceles triangle and equilateral triangle

And m∠2 = x + 59°

From the property of isosceles triangle

Any two adjacent sides are equal , and angle opposite to adjacent sides are equal

Again , from property of equilateral triangle

All three sides are equal and all three angle are 60° each .

∵ one angle of equilateral triangle is ∠2

So, from the property of equilateral triangle  ,  m∠2 = 60°

Since m∠2 = x + 59°

So, 60° = x + 59°

∴ x =  60° -  59°

i.e x =  1°

So, The value of x =   1°

Hence, The value of x is  1° . Answer