Respuesta :

simonasilvestri

Answer:

The 2 triangles on the right and left are isosceles, so they have 2 equal sides. Consequently, the angles at the base are equal.

Because the opposite angles of a vertix are equal, the triangle in the lower part has the angles x, 58° and 47°.

Because the sum of the inner angles of a triangle is 180, x= 180- (58+47)

x= 180-105 = 75°

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Podetola

Answer: x = 72

Step-by-step explanation:

The triangle with ∠a is an isosceles triangle; the other two angles are congruent, let them be y

a + y + y = 180 (sum of angles in triangles)

58 + 2y = 180

Subtract 58 from both sides

2y = 122

Divide both sides by 2

y = 61°

In the triangle with ∠b, b is congruent to another angle, (isosceles triangle) let it be b.

b = 47°

y and b have a relationship with the other two of the angles with ∠x (vertical angles); let them be y and b.

y + b + x = 180

61 + 47 + x = 180

108 + x = 180

Subtract both sides by 108

x = 72

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