Ask Question
20 May, 01:22

The sum of the angle measures of the polygon is 540°. Write and solve an equation to find the value of 2.

5x - 8°

4x°

96°

44°

5x + 2°

+5
Answers (1)
  1. 20 May, 01:25
    0
    x = 29°

    The angles are 137°, 116°, 96°, 44° and 147°

    Step-by-step explanation:

    The sum of the angles of the polygon is given as 540°. The angles are given as 5x - 8°, 4x°, 96°, 44°, 5x + 2. Therefore, the value of x can be found as follows

    5x - 8° + 4x° + 96° + 44° + 5x + 2° = 540°

    collect like terms

    5x + 4x + 5x - 8 + 96 + 44 + 2 = 540°

    14x + 134 = 540°

    14x = 540 - 134

    14x = 406

    divide both sides by 14

    x = 406/14

    x = 29°

    Therefore, the angles are as follows

    29 * 5 - 8 = 137°

    29 * 4 = 116°

    96°

    44°

    5 * 29 + 2 = 147°
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “The sum of the angle measures of the polygon is 540°. Write and solve an equation to find the value of 2. 5x - 8° 4x° 96° 44° 5x + 2° ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers