Question

Please help! Urgent!

Triangle GHJ has the exterior angles shown below.

Answer options:

-2.7
-5.8
-12
-29

Answer 1

Exterior angles of triangles = 360°.

So by definition:

`9x + 6 + 10x - 1 + 10x + 7 = 360\\29x + 12 = 360\\29x = 348\\x = 12`

The value of x is 12.

Answer 2

Answer: 12

Explanation:

We know that the sum exterior angles of a polygons is
`360^(\circ)`.

Therefore,according to the given picture , we have

`\angle{GHJ}+\angle{HJG}+\angle{JGH}=360^(\circ)\\\\\Rightarrow\ (9x+6)^(\circ)+(10x-1)^(\circ)+(10x+7)^(\circ)=360\\\\\Rightarrow\ 9x+6+10x-1+10x+7=360\\\\\Rightarrow\ 29x+12=360\\\\\Rightarrow\ 29x=348\\\\\Rightarrow\ x=(348)/(29)\\\\\Rightarrow\ x =12`

Hence, the value of x = 12