Given the lines a and b are parallel and that m 2= 68, find m 5.

M<2 and M<6 are corresponding angles, that means they have the same degree. M<6 and M<5 are supplementary angles, that means they have together a sum of 180. So all you need to do is 180 - 68 = 112. D is the answer.

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ApusApus ApusApus · Answer 2 · 2019-09-23T17:56:30+02:00

Answer:

D. [tex]112^{\circ}[/tex]

Step-by-step explanation:

We have been given two parallel lines. We are asked to find the measure of angle 5.

We can see that angle 2 and angle 6 are corresponding angles as they lie on upper side of parallel lines and same side of transversal.

We know that corresponding angles are equal, so measure of angle 2 is equal to measure of angle 6.

[tex]m\angle 6=m\angle 2[/tex]

[tex]m\angle 6=68^{\circ}[/tex]

We can see that angle 5 and angle 6 are supplementary, so they will add up-to 180 degrees.

[tex]m\angle 5+m\angle 6=180^{\circ}[/tex]

[tex]m\angle 5+68^{\circ}=180^{\circ}[/tex]

[tex]m\angle 5+68^{\circ}-68^{\circ}=180^{\circ}-68^{\circ}[/tex]

[tex]m\angle 5=112^{\circ}[/tex]

Therefore, the measure of angle 5 is 112 degrees.