22.2k views
4 votes
What is the value of x

What is the value of x-example-1
User Niecy
by
6.2k points

1 Answer

2 votes

Answer:

x = 98

Explanation:

The sum of the interior angles in a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 7, thus

sum = 180° × 5 = 900°

Sum the interior angles and equate to 900

x + 146 + 122 + 142 + 140 + 110 + 142 = 900, that is

x + 802 = 900 ( subtract 802 from both sides )

x = 98

User Carpii
by
5.4k points