Respuesta :

Answer:

x = 50°

Step-by-step explanation:

180° - 80° = 100°

100° ÷ 2 = 50°

50° + 50° + 80° = 180°

Solution:

  • We can see that the triangle has two equal sides. So, the triangle will have two equal opposite angles. It is an isosceles triangle.
  • Given, an angle measures 80°.
  • We take the measure of each of the two equal angles as x°.
  • We know, the sum of all angles of a triangle is 180°.
  • Therefore, by the problem

x + x + 80° = 180°

or, 2x = 180° - 80°

or, 2x = 100°

or, x = 100° ÷ 2

or, x = 50°

Answer:

The value of x in the triangle is 50°.