Question

For the figures below, give the following.(A) one pair of angles that form a linear pair (B) one pair of vertical angles (C) one pair of angles that are supplementary Linear pair: angle__ and angle __Vertical angles: angle __ and angle __Supplementary angles: angle __ and angle __

Answer 1

Given figure shows different angles named from 1 to 8.

Linear pair of angles:

The two adjacent angles that add upto 180 degrees or which when combined together form a straight line.

Hence, the linear pai of angles are:

$\begin{gathered} \angle1\text{ and }\angle2 \\ \angle1\text{ and }\angle4 \\ \angle2\text{ and }\angle3 \\ \angle4\text{ and }\angle3 \\ \angle5\text{ and }\angle6 \\ \angle5\text{ and }\angle8 \\ \angle8\text{ and }\angle7 \\ \angle6\text{ and }\angle7 \end{gathered}$

Supplementary angles:

The angles that add upto 180 degrees.

Hence, all the above linear pair of angles are supplementary also.

Vertical angles:

Vertical angles are the angles that are opposite to each other when two lines meet each other at a point.

$\begin{gathered} \angle1\text{ and }\angle3 \\ \angle4\text{ and }\angle2 \\ \angle5\text{ and }\angle7 \\ \angle8\text{ and }\angle6 \end{gathered}$