A night triangle has acule angles measuring 2x + 6 degrees and 3z-20 degrees. Use the Triangle Angle Sum Theorem to find the measures of the missing angles of the tnangle (4 points)

Answer 1

The sum of all angles in a triangle is 180 degrees. Therefore, we can set up an equation using the given angles:

2x + 6 + 3z - 20 + missing angle = 180

Simplify the equation:

2x + 3z - 14 + missing angle = 180

Now we need to find the missing angle in terms of x and z. We can do this by using the fact that the sum of the three angles in a triangle is 180 degrees:

missing angle = 180 - (2x + 3z - 14)

missing angle = 180 - 2x - 3z + 14

missing angle = 194 - 2x - 3z

We now have the missing angle in terms of x and z.