Find the measure of Angle 1 and 2

measure of angle 1 = x
measure of angle 2 = x-6

the measure of angle 3 is a right angle which would be 90 degrees

diagram looks like a T with another line coming from the upper left diagonally like from where the T the top line of the T and the vertical line of the T connect

The right angle is on the right side of the diagram or T

Please help, and give formula for solving, sorry if the diagram is hard to imagine, I described it the best I could.

1 + 2 + 3 is a straight angle (180º)

3 is a right angle (90º)

1 + 2 = 90 = x + x - 6 = 2 x - 6

Based on the given information, we have the following angles:

Angle 1: x degrees
Angle 2: x - 6 degrees
Angle 3: 90 degrees (right angle)

In a straight line or a straight angle, the sum of the angles is always 180 degrees. Therefore, we can set up an equation to find the value of x.

x + (x - 6) + 90 = 180

By combining like terms, we get:

2x - 6 + 90 = 180
2x + 84 = 180

Next, we can isolate the variable x by subtracting 84 from both sides of the equation:

2x = 180 - 84
2x = 96

Finally, we can solve for x by dividing both sides of the equation by 2:

x = 96 / 2
x = 48

Therefore, the measure of Angle 1 (x) is 48 degrees, and the measure of Angle 2 (x - 6) is 48 - 6 = 42 degrees.

To find the measures of Angle 1 and Angle 2, we can use the fact that the sum of the interior angles of a triangle is 180 degrees.

In this case, considering the right angle as Angle 3, we can form a triangle using Angle 1, Angle 2, and Angle 3.

Since Angle 1 and Angle 2 are adjacent angles on a straight line (the top part of the "T" diagram) and their sum is 180 degrees, we can set up the equation:

Angle 1 + Angle 2 + Angle 3 = 180 degrees

Substituting the given values:
x + (x-6) + 90 = 180

Simplifying the equation:
2x - 6 + 90 = 180
2x + 84 = 180
2x = 180 - 84
2x = 96
x = 96 / 2
x = 48

Therefore, the measure of Angle 1, x, is 48 degrees, and the measure of Angle 2, x - 6, is 42 degrees.