Answered

Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Experience the convenience of getting accurate answers to your questions from a dedicated community of professionals. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Given the following angles of a regular polygon, 120°, (4*x+-3)°, (x+14)°, 45°, 135°, (x-31)°, and (x*6+20)°, what is the value of x?

Sagot :

Since the polygon has seven angles we deduce it is a heptagon. In that case the sum of the interior angles must be equal to 900°. We can formulate the following equation accordingly.

120°+(4*x-3)°+ (x+14)°+ 45°+ 135°+ (x-31)°+ (x*6+20)° = 900°

120°- 3° +14° + 45° + 135° - 31° + 20 + 4x + x + x + 6x = 900° (Organizing)

300 ° + 12x = 900° (Operating like terms)

12x= 900° - 300° (Transposing 300° to the other side of the equation)

12x= 600° (Subtracting 300° from 900°)

12/12x= 600° / 12 (Dividing by 12 on both sides of the equation)

x= 50°

Answer is: x= 50°

Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.