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 :

The angles in a triangle add up to 180.

The value of x is 14

How to determine the value of x

Given that, GHI is a triangle.

It means that:

G + H + I = 180

So, we have:

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

Collect like terms

10x + 3x +x= 180 - 9 - 13 - 4

Evaluate the like terms

14x= 154

Divide through by 14

x = 11

Hence, the value of x is 14

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