Respuesta :

chetankachana

Answer:

x = 55°

Step-by-step explanation:

Hello!

The sum of angles in a triangle is 180°.

To solve for x, we have to subtract the given angles from 180°.

Solve for x

  • 180° = ∠1 + ∠2 + ∠x
  • 180° = 75° + 50° + x°
  • 180° - 75° - 50° = x°
  • 55° = x°

The value of x is 55°.

DeadlyHallows

Angle sum property of a triangle

  • Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

∠A + ∠B + ∠C = 180°

  • ∠A = ?
  • ∠B = 75°
  • ∠C = 50°

We need to find the value of ∠A

According to the angle sum property of a triangle

⇢∠A + ∠B + ∠C = 180°

⇢∠A + 75° + 50° = 180°

⇢∠A + 125° = 180°

⇢∠A = 180° - 125°

⇢∠A = 55°

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