Note: As you missed to add the diagram, so I have attached a reference diagram below to explain you the concept.
Answer:
The measure of ∠5 is 64°.
In other words: m∠5 = 64°.
Step-by-step explanation:
Considering the attache diagram below.
m∠1 = 116°
As we know that when parallel lines are cut by a transversal, corresponding angles will be congruent.
From the figure angle ∠1 and angle ∠6 are congruent.
i.e.
m∠1 = m∠6 = 116°
As m∠6 are m∠5 are supplementary angles as they both add up to 180° angle. The reason is that m∠5 and m∠6 are linear pairs, on a straight line, so they are supplementary.
m∠5 + m∠6 = 180°
m∠5 + 116° = 180° ∵ m∠6 = 116°
m∠5 = 180° - 116°
m∠5 = 64°
Therefore, the measure of ∠5 is 64°.
In other words: m∠5 = 64°.
