a heptagon has interior angles of 130',140 and 165.estimate the magnitude of each unknown interior angle.given that they are equal.
a nonagon has interior angles of 147',178',146', and 193',.calculate the magnitude of each unknown interior angle.given that they are equal.
a decagon has interior angle of 100',115',120',125',and 130'.the remaining angles are equal.calculate the size of each unknown interior angle.
2007-10-21 10:30:54 · 1 answers · asked by risingstar 2 in Science & Mathematics ➔ Mathematics
For an n-gon, the sum of the interior angles is 180(n-2) degrees.
I'll help you with the first and let you figure out the other two.
With a heptagon, n=7, so the sum of all 7 angles is 180*5=900.
You are given the values of 3 of the seven angles, and you are told that the remaining 4 angles are equal. Let x= the common value of those 4 angles. then
130 + 140 + 165 + x + x + x + x =900
435+4x = 900.
Solve for x!
2007-10-21 10:52:53 · answer #1 · answered by Michael M 7 · 0⤊ 0⤋