The lines CD and EF in the image are not parallel for the given angle measures
How to determine if the lines are parallel for the given angle measures?
Question #9
The measures of the angles are given as:
BPG = 139
GPC = 95
BQF = 110
As a general rule, the co-interior angles between a parallel, when added have a sum of 180 because they are supplementary angles.
This means that, at least 2 of the given angles must add up to 180.
So, we have:
139 + 95 = 234
139 + 110 = 249
95 + 110 = 205
None of the angles add up to 180.
Hence, the lines CD and EF in the image are not parallel for the given angle measures
Question #10
The measures of the angles are given as:
BPD = 35
APG = 115
EQA = 35
As a general rule, the co-interior angles between a parallel, when added have a sum of 180 because they are supplementary angles.
This means that, at least 2 of the given angles must add up to 180.
So, we have:
35 + 115 = 150
35 + 115 = 150
35 + 35 = 70
None of the angles add up to 180.
Hence, the lines CD and EF in the image are not parallel for the given angle measures
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