gavidiajosue94
contestada

In ΔGHI, \text{m}\angle G = (10x+9)^{\circ}m∠G=(10x+9)∘, \text{m}\angle H = (3x+13)^{\circ}m∠H=(3x+13)∘, and \text{m}\angle I = (x+4)^{\circ}m∠I=(x+4)∘. What is the value of x?x?​

In ΔGHI textmangle G 10x9circmG10x9 textmangle H 3x13circmH3x13 and textmangle I x4circmIx4 What is the value of xx class=

Respuesta :

akposevictor

Applying the sum of triangle theorem, the value of x is: 11.

Sum of Triangle Theorem

The sum of triangle theorem states that, all the three interior angles of a triangle equals 180 degrees.

Given:

  • m∠G = (10x + 9)°
  • m∠H = (3x + 13)°
  • m∠I = (x + 4)°

Therefore:

(10x + 9) + (3x + 13) + (x + 4) = 180

  • Add like terms

14x + 26 = 180

14x = 180 - 26

14x = 154

x = 11

Therefore, applying the sum of triangle theorem, the value of x is: 11.

Learn more about the sum of triangle theorem on:

https://brainly.com/question/7696843

Otras preguntas