For parallel lines with a transversal, the following relationships apply:

• angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°)
• alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°)
• all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other
• same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°)

Applying these relationships starting with d° = 149, the value of w° is 31.

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

5b - 6 = \( \frac{b}{-5} \)
-5 x (5b - 6) = b
(-5 x 5b) + (-5 x -6) = b
-25b + 30 = b
-25b + 30 - b = 0
-25b - b = -30
-26b = -30
b = \( \frac{-30}{-26} \)
b = 1\(\frac{2}{13}\)

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 9 + 3 + 5 + 1
p = 18

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

7a + 2a = 9a