DamanE283788 DamanE283788
  • 29-10-2022
  • Mathematics
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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 class=

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RaymontP422845 RaymontP422845
  • 29-10-2022

Answer:

100 degrees

Explanation:

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

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

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;

[tex]\angle5=\angle4=100^{\circ}[/tex]

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