Question

PLEASE I NEED HELP
FIND THE VALUE OF X

Answer 1

123°

Explanation:

Finding the Missing Angle Within the Triangle

We know that all triangles sum to 180 degrees. So, to find the missing angle within the missing angle, we can create an equation. For the purposes of this equation, I will use y as the missing angle within the triangle.

• 
  `180=55+68+y`

Then, solve for y by subtracting 55 and 68 from both sides.

• 
  `57=y`

Finding X

The missing angle within the triangle is supplementary to the x angle. Supplementary angles are angles that sum to 180. So, to find x we can create a new equation.

• 
  `180=57+x`

Next, solve the formula by subtracting 57 from both sides.

• 
  `123=x`

Shortcut

In cases like this, there is a shortcut that can be used. This shortcut can be used when you are trying to find a supplementary angle outside of a triangle, and you are given the other 2 angles of triangle. The x value will always be equal to the sum of the 2 angles that are not adjacent to the missing, outside angle.

So, in this case,
`x=68+55` because 68 and 55 are not adjacent to the outside angle, x.