Question

Finding a Missing Value
In the diagram, r || s.

Parallel lines r and s are crossed by transversal t to form 8 angles. Clockwise from top left, the angles formed with line r are blank, blank, 1, (2 x + 12.8) degrees; with line s are blank, blank, 117.6 degrees, blank.

What is the value of x?

x =

Answer 1

x = 24.8

Reason: The angle labeled 1 is corresponding to the 117.6° angle, so angle 1 = 117.6°. That angle and (2x + 12.8)° are a linear pair, so
117.6 + (2x + 12.8) = 180.
2x + 130.4 = 180 → 2x = 49.6 → x = 24.8.