Respuesta :

renknee

Answer:

30

Step-by-step explanation:

1. The exterior angle theorem states that the two opposing (in terms of the exterior angle) interior angles of a triangle are congruent to the exterior angle. This means that m∠1 (x) + 90 = 120. Now, we just have to solve for x.

2. (Solving)

Step 1: Subtract 90 from both sides.

  • [tex]x + 90 = 120[/tex]
  • [tex]x - 90 = 120 - 90[/tex]
  • [tex]x = 30[/tex]

Step 2: Check if solution is correct.

  • [tex]30 + 90 = 120[/tex]
  • [tex]120 = 120[/tex]

Therefore, m∠1 = 30 degrees.

Answer:

∠ 1 = 30°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

120° is the exterior angle of the left triangle , then

∠ 1 + 90° = 120° ( subtract 90° from both sides )

∠ 1 = 30°

Otras preguntas