Find the value of x.

x = [?] degrees
20 degrees, 20 degrees, 70 degrees and X

1 answer

To find the value of \( x \) in the context of the angles provided (20 degrees, 20 degrees, 70 degrees, and \( x \)), we can rely on the fact that the sum of all angles in a triangle is \( 180 \) degrees.

Given:

  • Angle 1 = 20 degrees
  • Angle 2 = 20 degrees
  • Angle 3 = 70 degrees
  • Angle 4 = \( x \)

To find \( x \), we set up the equation: \[ 20 + 20 + 70 + x = 180 \]

First, add the known angles: \[ 20 + 20 + 70 = 110 \]

Then, substitute this back into the equation: \[ 110 + x = 180 \]

Now, solve for \( x \): \[ x = 180 - 110 \] \[ x = 70 \]

Thus, the value of \( x \) is \( 70 \) degrees.