Answered

Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

Work out the sizes of each unknown exterior angle in this polygon

Work Out The Sizes Of Each Unknown Exterior Angle In This Polygon class=

Sagot :

Answer:

see explanation

Step-by-step explanation:

The sum of the exterior angles of a polygon = 360°

The exterior angle to interior angle is

exterior angle = 180° - 110° = 70°

Sum the exterior angles and equate to 360

x + 2x + 70 + 2x - 50 + x + 40 = 360 , that is

6x + 60 = 360 ( subtract 60 from both sides )

6x = 300 ( divide both sides by 6 )

x = 50

Then measure of exterior angles is

x = 50°

2x = 2 × 50 = 100°

x + 40 = 50 + 40 = 90°

2x - 50 = 2(50) - 50 = 100 - 50 = 50°

Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.