The convex polygon below has 7 sides. find the value of x
2 answers:
The given convex polygon has 7 sides
Hence its sum of interior angles is given by the formula , (number of sides-2)x180°
=> (7-2) x 180°
=> 5 x 180°
=> 900°
The sum of all angles must be equal to 900°
The given six angles are :
139°,126°,106°,129°,141°,112° , x°
=> 139+126+106+129+141+112+x = 900°
=> 753 + x = 900
=> x = 900-753
=> x = 147°
Hence 147° is the required answer.
Answer:
x = 147
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 7 , then
sum = 180° × 5 = 900°
sum the interior angles and equate to 900
x + 141 + 112 + 129 + 106 + 139 + 126 = 900
x + 753 = 900 ( subtract 753 from both sides )
x = 147
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Step-by-step explanation:
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Step-by-step explanation: