Please Help me with this geometric equation.

Question

asked Dec 11, 2024 171k views

1 Answer

William Choy · Answer 1 · 2024-12-17T19:31:49+0000

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,

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

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

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