SOLUTION: The degree measures of the angles of a pentagon are consecutive even integers. Find the measure of the largest angle. (Hint: The sum of the measures of the angles of a pentagon is
Algebra.Com
Question 206933: The degree measures of the angles of a pentagon are consecutive even integers. Find the measure of the largest angle. (Hint: The sum of the measures of the angles of a pentagon is 540 degrees.)
Found 2 solutions by Alan3354, vleith:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The degree measures of the angles of a pentagon are consecutive even integers. Find the measure of the largest angle. (Hint: The sum of the measures of the angles of a pentagon is 540 degrees.)
-------------
To reword it, 5 consecutive even integers add to 540.
--------
The hard way:
x + x+2 + x+4 + x+6 + x+8 = 540
5x + 20 = 540
5x = 520
x = 104
--> 104,106,108,110,112
--------------
The easy way:
540/5 = 108 (the middle number)
2 numbers will be below and 2 above
--> 104,106,108,110,112
112º is the largest.
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
A pentagon have 5 angles. You are told the sum of the angles is 540 AND that the angles are 5 consecutive even numbers.
Let a be the smallest angle. Then next four even consecutive numbers are a +2, a+ 4, a+6 and a+8.
You are asked to find the larges angle, that would be
RELATED QUESTIONS
The degree measures of the angles of a pentagon are consecutive even integers. Find the... (answered by mszlmb)
The degree measures of the angles of a pentagon are consecutive even integers. Find the... (answered by Alan3354)
The degree meausres of the angles of a pentagon are consecutive even integers. Find the... (answered by Alan3354)
The measures of two complementary angles are consecutive even integers. Find the measure... (answered by Fombitz)
Suppose the interior angles of a convex pentagon are five consecutive numbers, find the... (answered by longjonsilver,khwang)
Suppose the interior angles of a convex pentagon are five consecutive numbers, find the... (answered by drglass)
The measure of the exterior angles of a convex pentagon are consecutive integers. find... (answered by Edwin McCravy,ikleyn)
the degree measures of the angles of a triangle are consecutive even integers. what is... (answered by Alan3354)
The measures of the angles of a pentagon are consecutive even integers. If the angles of... (answered by mistercc,edjones)