Answered

Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Get detailed and precise answers to your questions from a dedicated community of experts on our Q&A platform. Get detailed and accurate answers to your questions from a dedicated 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°

Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.