Question

In the diagram at right, two parallel lines are intersected by a third line. If the measure of angle 2 is 112 deg , what is the measure of angle 5? (Diagram is NOT drawn to scale.)

Answer 1

angle 2 is congruent to angle 4 since they are vertical angles

angle 4 and angle 5 are supplementary since they are same-side interior angles

therefore, angle 2 and angle 5 are supplememtary angles

Since, angle 2 is equal to 112°

angle 5 = (180 - 112)°

angle 5 = 68°

Hence, the answer is 68 deg