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Please Help me with this geometric equation.

Please Help me with this geometric equation.-example-1

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Answer:


\sf a)\textsf{ linear pair} : \angle 2 \textsf{ and } \angle 4


\sf b)\textsf{ Vertical angles }: \angle 5 \textsf{ and } \angle 8


\sf c) \textsf{Supplementary angles}:\angle 5 \textsf{ and } \angle 7

Explanation:

Note:

  • Linear pairs are two angles that are adjacent and add up to 180 degrees. They are formed when two lines intersect.
  • Vertical angles are two angles that are opposite each other at an intersection of two lines. They are always equal in measure and supplementary.
  • Supplementary angles are two angles that add up to 180 degrees. They can be linear pairs, but they do not have to be.

In this case:

a) Pair of angles that form a linear pair and supplementary angles are:

Note:

All linear pair angles are supplementary angles.

You can choose one from below:


\sf \angle 2 \textsf{ and } \angle 4


\angle 1 \textsf{ and } \angle 3


\angle 2\textsf{ and } \angle 1


\angle 2 \textsf{ and } \angle 4


\angle 6\textsf{ and } \angle 8


\angle 5\textsf{ and }\angle 7


\angle 5\textsf{ and } \angle 6


\angle 7\textsf{ and } \angle 8

Now,

b) pairs of vertical angles are:


\sf \angle 2 \textsf{ and } \angle 3


\sf \angle 1\textsf{ and } \angle 4


\sf \angle 7\textsf{ and } \angle 6


\sf \angle 5 \textsf{ and } \angle 8

So,


\sf a)\textsf{ linear pair} : \angle 2 \textsf{ and } \angle 4


\sf b)\textsf{ Vertical angles }: \angle 5 \textsf{ and } \angle 8


\sf c) \textsf{Supplementary angles}:\angle 5 \textsf{ and } \angle 7

User William Choy
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