SOLUTION: You have a heptagon with the following measurements of 6 interior angles: 125º, 130º, 175º, 105º, 165º, 25º. What is the measure of the 7th angle? If it is not possible, write not

Algebra.Com
Question 630560: You have a heptagon with the following measurements of 6 interior angles: 125º, 130º, 175º, 105º, 165º, 25º. What is the measure of the 7th angle? If it is not possible, write not possible and explain why it is not possible.
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
You have a heptagon with the following measurements of 6 interior angles: 125º, 130º, 175º, 105º, 165º, 25º. What is the measure of the 7th angle? If it is not possible, write not possible and explain why it is not possible.
---
sum of the interior angles of a heptagon = (7-2)*180 = 900 degrees
----
Sum of the six given angles: 725
-----
Measure of the 7th angle 900-725 = 175 degrees
=====================
Cheers,
Stan H.
---------------

RELATED QUESTIONS

three interior angles of a convex heptagon measure 125 degrees and two of the interior... (answered by Alan3354)
What is the measure of one of the interior angles of a regular... (answered by ewatrrr)
What is the sum of the interior angles of a heptagon? (answered by Theo)
seven of the angles of an octagon have measures of 90 degrees, 105 degrees, 125 degrees,... (answered by checkley71)
what is the sum of the exterior angles of a 24-agon ? What is the measure of each... (answered by roseo)
Hello, I have been working on these math problems for a very long times, and I cannot... (answered by Alan3354)
If a heptagon has an area of 130 in2, what is the measure of one... (answered by Alan3354)
What is the measure of each interior angle of a regular... (answered by lynnlo,MathTherapy)
The new community swimming pool is pentagonal in a shape with three interior angles of... (answered by fractalier)