Four of the interior angles of a hexagon measure 92°92°, 100°100°, 94°94°, and 140°140°. The remaining two angles each measure (x−32)°. What is the value of xx?
Four of the interior angles of a hexagon measure 92°92°, 100°100°, 94°94°, and 140°140°. The remaining two angles each measure (x−32)°. What is the value of xx?
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.5: Inequalities In A Triangles
Problem 39E
Related questions
Question
Four of the interior angles of a hexagon measure 92°92°, 100°100°, 94°94°, and 140°140°. The remaining two angles each measure (x−32)°. What is the value of xx? Justify your response.(1 point)
-
The sum of all interior angle measure is 540°540°, so each angle measuring (x−32)° has a measure of 246°246°. Thus, (x−32)°=246°, and so x=275.
-
The sum of all interior angle measure is 720°720°, so each angle measuring (x−32)° has a measure of 294°. Thus, (x−32)°=294°, and so x=326.
-
The sum of all interior angle measure is 720°720°, so each angle measuring (x−32)° has a measure of 147°147°. Thus, (x−32)°=147°, and so x=179.
-
The sum of all interior angle measure is 540°540°, so each angle measuring (x−32)° has a measure of 123°123°. Thus, (x−32)°=123°, and so x=155
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.Recommended textbooks for you
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,