What is the sum of the interior angles of an octagon?
2 answers:
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The two labeled angles are alternate interior angles, and as such, they are the same.
From this result you can build the equation
and solve it for x: subtract 13x from both sides to get
and add 2 to both sides to get
Check: if we plug the value we found we have
So the angles are actually the same, as requested.
2n - 7 × 1 = 15 × 3
2n - 7 = 45
2n = 45 + 7
2n = 52
n = 26
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