SOLUTION: The exterior angles of a convex pentagon measure (18x+12), 16x, (8x+6), (10x-12), and (5x+12). Determine the measure of the largest interior angle.

Algebra.Com
Question 816615: The exterior angles of a convex pentagon measure (18x+12), 16x, (8x+6), (10x-12), and (5x+12). Determine the measure of the largest interior angle.

Found 2 solutions by stanbon, MathTherapy:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
The exterior angles of a convex pentagon measure (18x+12), 16x, (8x+6), (10x-12), and (5x+12). Determine the measure of the largest interior angle.
-------
Equation::
18x+12 + 16x + 8x+6 + 10x-12 + 5x+12 = 360 degrees
-----------------------------------------------
57x + 18 = 360
-----
57x = 342
x = 6
------
18x+12 = 18*6+12 = 120
16x = 16*6 = 96
10x-12 = 60-12 = 48
8x+6 = 8*6+6 = 54
5x+12 = 5*6+12 = 42
------------------------
Cheers,
Stan H.
========================

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
The exterior angles of a convex pentagon measure (18x+12), 16x, (8x+6), (10x-12), and (5x+12). Determine the measure of the largest interior angle.

Largest interior angle is the supplementary angle to the smallest exterior angle.
Smallest exterior angle:
Largest interior angle: , or
You can do the check!!
Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com.
Further help is available, online or in-person,for a fee, obviously.

For FREE info and answers to questions about the ASVAB exam, the NYS 3 – 8 city/state wide exams,
GENERAL MATH QUESTIONS, MATH HOMEWORK QUESTIONS, or MATH QUESTIONS related to the Regents Integrated Algebra,
Regents Geometry, Regents Algebra 2/Trigonometry, SHSAT, COOP/HSPT/TACHS, PSAT, SAT, ACT, SSAT/ISEE, GRE, CLEP,
and the GED, you can visit: http://asvabstudyzone.freeforums.net/.
RELATED QUESTIONS

I need help understanding and setting up this problem: The exterior angles of a convex... (answered by reviewermath)
I have been stuck on these two problems for like an hour and a half. Please Help Me! (answered by jim_thompson5910)
if four of the exterior angles of a convex pentagon measure 50, find the measure of the... (answered by solver91311)
If four of the exterior angles of a convex pentagon measure 50degrees. find the measure (answered by macston)
The measure of the exterior angles of a convex pentagon are consecutive integers. find... (answered by Edwin McCravy,ikleyn)
1.a convex hexagon has exterior angles with measures 35,46,55,73 and 82 degrees. Draw a... (answered by stanbon)
Find the measure, in degrees, of the largest exterior angle of a convex polygon whose... (answered by stanbon)
A convex pentagon has exterior angles of 80° 83° 27° and 35° what is the measure of an... (answered by Boreal)
A convex pentagon has exterior angles of 83 degrees; 83 degrees, 26 degrees and 46... (answered by mananth,ikleyn)