Linear pair angles add up to 90 degrees.
The angles are 18 degrees and 72 degrees
Let the angles be x and y
Such that
[tex]x = 4y[/tex]
So, we have:
[tex]x + y = 90[/tex] ---- linear pair add up to 90
Substitute [tex]x = 4y[/tex]
[tex]4y + y = 90[/tex]
[tex]5y = 90[/tex]
Divide both sides by 5
[tex]y = 18[/tex]
Recall that:
[tex]x = 4y[/tex]
Substitute 18 for y
[tex]x = 4 \times 18[/tex]
[tex]x = 72[/tex]
Hence, the angles are 18 degrees and 72 degrees
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