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Line AB is parallel to line CD. What is the measure of angle 4?

Line AB is parallel to line CD. What is the measure of angle 4?-example-1
User Camtastic
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1 Answer

12 votes
12 votes

Answer:

100 degrees

Step-by-step explanation:

From the given figure, we can see that the sum of <5 and 80 degrees will be 180 degrees;


\begin{gathered} \angle5+80=180\text{ (sum of angles on a straight line)} \\ \angle5=180-80 \\ \therefore\angle5=100^(\circ) \end{gathered}

We know that alternate interior angles are always equal and we can see from the figure that <5 and <4 are alternate interior angles, so we have that;


\angle5=\angle4=100^(\circ)

User Benji
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