Question

Find value of x in this triangle

Answer 1

x = 12

Explanation:

the sum of the 3 angles in a triangle is 180°

sum the 3 angles, equate to 180 and solve for x

10x + x + 20 + x + 16 = 0 ( collect like terms on left side )

12x + 36 = 180 ( subtract 36 from both sides )

12x = 144 ( divide both sides by 12 )

x = 12

Answer 2

`\sf x = 12`

Explanation:

Since the sum of the interior angles of a triangle is always
`\sf 180^\circ`.

So, we can say that:

`\sf x + 20 + 10x + x + 16 = 180^\circ`

let's solve for x.

Combine like terms:

`\sf 12x + 36 = 180^\circ`

Subtract 36 on both sides:

`\sf 12x = 180^\circ - 36`

`\sf 12x = 144^\circ`

Divide both sides by 12

`\sf (12x)/(12)= (144^\circ)/(12)`

`\sf x = 12^\circ`

So, the value of
`\sf x` is
`\sf 12^\circ`.