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 w° = 28, the value of c° is 28.

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

AD = AB + BD

You need to find the value of c so solve the first equation in terms of x:

c + x = 5
x = 5 - c

then substitute the result (5 - 1c) into the second equation:

3c - 6(5 - c) = 4
3c + (-6 x 5) + (-6 x -c) = 4
3c - 30 + 6c = 4
3c + 6c = 4 + 30
9c = 34
c = \( \frac{34}{9} \)
c = 3\(\frac{7}{9}\)

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.

A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.