TimberlynJ657900 TimberlynJ657900
  • 03-11-2022
  • Mathematics
contestada

Select all pairs of angles in the figure above that are supplementaryA <1 and <7B <1 and <8C <3 and <6D <4 and <7

Select all pairs of angles in the figure above that are supplementaryA lt1 and lt7B lt1 and lt8C lt3 and lt6D lt4 and lt7 class=

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HalieN661710 HalieN661710
  • 03-11-2022

Solution

Notice that angle 1 and angle 8 are alternate interior angles

Hence,

[tex]\angle1=\angle8[/tex]

Notice that angle 8 and angle 7 are supplementary angle

Since angle 1 is equal to angle 8 it follows

Angle 1 and angle 7 are supplementary

Angle 1 and angle 3 are vertically opposite angle

Hence

[tex]\angle1=\angle3[/tex]

This implies that

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