100°, 112, 130° and 150°. The Four of the interior angles of a heptagon are ° remaining angles are equal. Find their magnitude.
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Answer:
204°
Step-by-step explanation:
sum of the interior angles = (n-2)×180°
n = number of sides
here, for heptagon
number of sides n = 7
and number of angles = n-1 = 7-1 = 6
sum of interior angles = (7-2)×180° = 900°
Four angles are given and remaining two are equal then,
100° + 112° + 130° + 150° + 2x = 900°
492° +2x = 900°
2x = 408°
x = 204°
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