Question

one angle of seven side,polygon is 114° and other six angle are equal.find the angle
can someone do it with formula thanks..​

Answer 1

➤ Answer

• The value of all the equal angles = 131°

➤ Given

• One angle of the seven sided polygon is 144° and other six angles are equal.

➤ To Find

• The value of other six equal angles.

➤ Step By Step Explanation

Given that one angle of the seven sided polygon is 144° and other six angles are equal. We need to find the value of other six equal. So let's do it !!

First we need to find the sum of all the interior angles of a seven sided polygon.

Formula Used

( n - 2 ) × 180 [ where n is the number of sides ]

Substituting

( 7 - 2 ) × 180 => 5 × 180 => 900°

Therefore, sum of all the angles of a seven sided polygon = 900°

Value of other angles.

Let us consider the value of other 6 equal angles be x. Then equation will be ⤵

➠ 114 + x + x + x + x + x + x = 900

➠ 114 + 6x = 900

➠ 6x = 900 - 114

➠ 6x = 786

➠ x = 786/6

➠ x = 131

Therefore, the value of all the equal angles = 131°

_____________________