It's a translation.
A reflection across a line is like flipping that object like a pancake over the line. It gets turned upside-down.
When you flip the pancake again, now across a parallel line, it gets turned right-side up again, just in a new location.
To solve, we must get x by itself. the first step we must take is to remove all of the parentheses. To do this, we must use distribution to multiply 5 by x - 6.
5(x - 6) = 3x - 18 + 2x
5x - 30 = 3x - 18 + 2x
Next, we must add like terms.
5x - 30 = 5x - 18
Finally, we must get x by itself. to do this, we must subtract 5x from both sides.
5x - 30 - 5x = 5x - 18 - 5x
Then, we add like terms again.
-30 = -18
Because this is a false statement, the equation is a contradiction.
All of these angles can be compared to each other.
There are:
- Alternate interior angles
-- Angles that share one line and two parallel lines and are less than 90 degrees (angles 10, 12). These angles are equal to each other.
- Alternate exterior angles
-- Angles that share one line and two parallel lines and are more than 90 degrees (angles 1,5) These angles are equal to each other.
- Vertical Angle
-- Angles that share a point and are opposite of that point (angles 2,3) These angles are equal to each other.
-Supplementary angles
-- Angles that are on the same side of one line and share the side of another (angles 9,10). These angles are always equal to 180 degrees.
Using this we know:
a. m of angle 5 = to the m of angle 3 = 102
m of angle 5 = 102 degrees
