Question

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

Answer 1

Answer:

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°