Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
Sagot :
Answer:
see explanation
Step-by-step explanation:
the sum of the interior angles of a quadrilateral = 360°
sum the 4 angles and equate to 360
4y - 10 + y + 40 + 3y + 20 + 2y + 10 = 360 , that is
10y + 60 = 360 ( subtract 60 from both sides )
10y = 300 ( divide both sides by 10 )
y = 30
then 4 angles are
4y - 10 = 4(30) - 10 = 120 - 10 = 110°
y + 40 = 30 + 40 = 70°
3y + 20 = 3(30) + 20 = 90 + 20 = 110°
2y + 10 = 2(30) + 10 = 60 + 10 = 70°
Since the angles measures are in order around the quadrilateral, then
the opposite angles are congruent, thus quadrilateral is a parallelogram
We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.
