The sum of two angles is equal to [tex]180^\circ[/tex] than the angle pairs are known as supplementary angles. Therefore, from the given diagram angle pairs [tex]\rm \angle 3\;and\;\angle6[/tex], [tex]\rm \angle 5\;and\;\angle6[/tex], [tex]\rm \angle 4\;and\;\angle5[/tex], [tex]\rm \angle 3\;and\;\angle4[/tex] and [tex]\rm \angle 7\;and\;\angle 8[/tex] are supplementary angles. So, the correct options are: B), C), and E).
Given :
[tex]\angle 3 = 90^\circ[/tex]
The sum of two angles is equal to [tex]180^\circ[/tex] than the angle pairs are known as supplementary angles.
From the diagram given in the question it can be clearly observe that if [tex]\angle 3 = 90^\circ[/tex] than [tex]\rm \angle 4,\;\angle 5,\;and\;\angle 6[/tex] are also equal to [tex]90^\circ[/tex].
Than according to the definition of supplementary angles:
[tex]\angle 3 +\angle6 = 180^\circ[/tex]
[tex]\angle 3 +\angle4 = 180^\circ[/tex]
[tex]\angle 4 +\angle5 = 180^\circ[/tex]
[tex]\angle 5 +\angle6 = 180^\circ[/tex]
[tex]\angle 7 +\angle8 = 180^\circ[/tex]
Therefore, angle pairs [tex]\rm \angle 3\;and\;\angle6[/tex], [tex]\rm \angle 5\;and\;\angle6[/tex], [tex]\rm \angle 4\;and\;\angle5[/tex], [tex]\rm \angle 3\;and\;\angle4[/tex] and [tex]\rm \angle 7\;and\;\angle 8[/tex] are supplementary angles.
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https://brainly.com/question/19281924
