Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Our platform connects you with professionals ready to provide precise answers to all your questions in various areas of expertise. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.
Sagot :
Answer:
see explanation
Step-by-step explanation:
Since the marked angles are congruent, let them be x
(6)
The sum of the interior angles of a quadrilateral = 360°
Sum the angles and equate to 360
x + x + 120 + 90 = 360
2x + 210 = 360 ( subtract 210 from both sides )
2x = 150 ( divide both sides by 2 )
x = 75
Then ∠ X = ∠ Y = 75°
---------------------------------------------------------------------
(7)
The sum of the interior angles of a hexagon = 720°
Sum the angles and equate to 720
x + x + 108 + 103 + 149 + 90 = 720
2x + 450 = 720 ( subtract 450 from both sides )
2x = 270 ( divide both sides by 2 )
x = 135
Then ∠ X = ∠ Y = 135°
Answer:
- 6) x = 75°, y = 75°
- 7) x = 135°, y = 135°
Step-by-step explanation:
Sum of the interior angles of a regular polygon:
- S(n) = 180°(n - 2), where n- number of sides
Exercise 6
Quadrilateral has sum of angles:
- S(4) = 180°(4 - 2) = 360°
Sum the given angles and consider x = y as marked congruent:
- 2x + 120° + 90° = 360°
- 2x + 210° = 360°
- 2x = 360° - 210°
- 2x = 150°
- x = 75° and y = x = 75°
Exercise 7
Hexagon has sum of angles:
- S(6) = 180°(6 - 2) = 720°
Sum the given angles and consider x = y as marked congruent:
- 2x + 108° + 103° + 149° + 90° = 720°
- 2x + 450° = 720°
- 2x = 720° - 450°
- 2x = 270°
- x = 135° and y = x = 135°
Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.