Question

a closed polygon has six sides and one of its angles is 30 degree greater than each of the other equal five angles.What is the value of the equal angles​

Answer 1

➤ Answer

• The value of equal angles of the given hexagon = 115°

➤ Given

• A closed polygon has six sides and one of its angles is 30 degree greater than each of the other equal five angles.

➤ To Find

• The value of it's equal angles.

➤ Step By Step Explanation

We know that the sum of all the angles of a hexagon = 720°

As given in the question 5 angles are equal so let us assume them x and another angle is 30 greater than other angles.

So let's do it !!

➠ x + x + x + x + x + x + 30 = 720

➠ 6x + 30 = 720

➠ 6x = 720 - 30

➠ 6x = 690

➠ x = 690/6

➠ x = 115°

Therefore the value of equal angles = 115°

_____________________

Answer 2

Answer:

115°

Step-by-step explanation:

sum of all the angles of hexagon-720°

as 5 angles are equal we can take them as x.

And another side is greater 30° greater.

so angles are= 5x,x+30°

5x+x+30=720°

6x+30°=720°

6x=720-30

=690°

x=690/6

=115°

::so the equal angles are 115°