Two Parallel lines are cut by a transversal and form a pair of alternate exterior angles. One angle measures (6x+5) and other measures (7x+4). Explain how to determine what those other angles actually measure.

The other angles will measure 83.9° and 96.1°

Step-by-step explanation:

If two parallel lines are cut by a transversal and form a pair of alternate exterior angles, then the sum of the two exterior angles will be equal to 180° as shown;

If one angle measures (6x+5) and other measures (7x+4), then;

(6x+5) + (7x+4) = 180° (sum of two exterior angles)

Firstly, lets get the value of x from the equation.

6x+7x+9 = 180°

13x = 180-9

13x = 171

x = 171/13

x = 13.15°

The first angle 6x+5 will measure 6 (13.15) + 5 = 83.9°

The other angle 7x+4 will mesure 7 (13.15) + 4 = 96.1°