26-09-2018
Mathematics

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26-09-2018

Same-side interior angles where a transversal crosses parallel lines are supplementary:

6y +4y = 180
90 +5x = 180

The solutions to these equations can probably be done in your head:

y = 180/(6+4) = 18
x = (180-90)/5 = 18

The angles at the bottom of the figure, shown as different, are actually the same: 90°.

The angles at the top of the figure, shown as the same, are actually different: 108° on the left, 72° on the right.

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