Question

The angles of a heptagon are (x + 3), (2x + 5)°, (x + 8)°, (3x + 1)º, (5x – 6)°, (2x + 9) and (x - 5)'. Calculate x.

Answer 1

Answer:

Step-by-step explanation:

Sum of interior angles = (2 * 7 - 4) * 90

                                     = (14 - 4) * 90

                                     = 10 * 90

                                     = 900.

Then (x + 3) + (2x + 5) + (x + 8) + (3x + 1) + (5x - 6) + (2x + 9) + (x - 5) = 900

x + 3 + 2x + 5 + x + 8 + 3x + 1 + 5x - 6 + 2x + 9 + x - 5 = 900

15x + 15 = 900

15x = 900 - 15

x = 885/15

x = 59.

Therefore the value of x = 59.