Question

What is the value of x?

42
22
38
5

Answer 1

38°

Explanation:

In a triagle the sum of all the internal angles must be equal to 180°, so we have to sum 3x-16 and x+6 and x:

`3x-16+x+6+x=180`

Now we put togehter like terms, this is: we sum the terms with x:

`3x+x+x=5x`

and the independent terms on the left side:

`-16+6=-10`

so the equation becomes:

`5x-10=180`

and we clear for x:

`5x=180+10\\5x=190\\x=190/5\\x=38`

the value of x is 38°

Answer 2

38

Explanation:

since the sum of all three interior angles in a triangles makes 180° :

3x - 16 + x + x + 6 = 180

5x -10 = 180

5x = 190

x = 38