Notice that angles 1 and the given angle with measure 68° are corresponding angles, therefore:
[tex]\measuredangle1=68^{\circ}.[/tex]
Now, angles 1 and 2 are alternate exterior angles, then:
[tex]\measuredangle1=\measuredangle2=68^{\circ}.[/tex]
Finally, angles 2 and 3 are consecutive interior angles, then:
[tex]\measuredangle2+\measuredangle3=180^{\circ}.[/tex]
Solving for angle 3, we get:
[tex]\measuredangle3=112^{\circ}.^{}[/tex]
Answer:
Angle 1 is 68 degrees due to the corresponding angles theorem.
Angle 2 is 68 degrees due to the alternate exterior angles theorem.
Angle 3 is 112 degrees due to the consecutive angles theorem.
Examples:
Alternate exterior angles: angles A and B are alternate exterior angles.
Alternate interior angles: angles C and D are alternate interior angles:
