131k views
0 votes
The interior angles of a pentagon are x, (x+20), (x + 20), (x + 40) and (x + 40). Work out the value of x.​

User Siladittya
by
8.4k points

1 Answer

3 votes

Answer:

x = 84

Explanation:

the sum of the interior angles of a polygon is

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

a pentagon has 5 sides , so n = 5

sum = 180° × (5 - 2) = 180° × 3 = 540°

sum the interior angles and equate to 540

x + x + 20 + x + 20 + x + 40 + x + 40 = 540

5x + 120 = 540 ( subtract 120 from both sides )

5x = 420 ( divide both sides by 5 )

x = 84

User Yogurtearl
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories