Question

Find x in the triangle

Answer 1

15° hope that helps

Answer 2

Answer:100

Step-by-step explanation:

The question confuses you since there is no extra variable to help you which is you have to create it yourself.

Let's create a variable called 'y' and make it the empty angle inside the triangle and next to x + 30. Since at K it will always equal to 180° because x+30 + y = 180°, we can rearrange to make y alone which would be become:

$y=-x-30+180$ which then becomes $y = -x+150$.

Also since the inside sum of angles in a traingle is equal to 180°, this can be written as

$180 = (x-40) +(x-30)+y$

if we replace y with the equation we get

$180=(x-40)+(x-30) + (-x+150)$

which can be simplified to

$180=x+80$ because 2x-x = x and -70+150 = 80

If we rearrange to solve for x, we get:

$x = 180-80$ ⇒ $x=100$

We can verify this by putting the value of x in both equation:

$y = -100+150 = 50$ angle at k

$100-40=60$ angle at j

$100-30=70$ angle at l

$50+60+70=180$ this match the rules of the sum of interior angle always equal 180°