Friday

March 6, 2015

March 6, 2015

Posted by **Kay** on Friday, February 17, 2012 at 12:21am.

What is the measure of each obtuse angle in the pentagon?

- Geometry -
**yoyoma**, Friday, February 17, 2012 at 12:28amYou know that a pentagon has 5 sides and 5 angles. So, if you already have one angle you only have to solve for four more, which happen to be equal. So, first determine the total degrees sum of the interior angles in a pentagon by using the formula: 180(n-2) where n is the number of sides in the polygon. So, the sum of interior angles in a pentagon is 540. And now that you have one of them, you know the sum of the remaining 4 is 540-20=520 degrees. And the problem also tells you that these last four angles are equal and obtuse! You are halfway done: just divided the remaining degrees, 520/4 and you get 130 degrees. Now check, is this obtuse? Yes, it is greater than 90 degrees but less than 180! Hope this helps!

- Geometry -
**john**, Sunday, February 26, 2012 at 6:50pm140

**Answer this Question**

**Related Questions**

geometry - A picture frame is shaped as a heptagon. The measure of one angle is ...

Geometry - If one of the interior angles of a pentagon has a measure of 48 ...

Geometry. Please help. - 1) Two angles are complementary. The measure of one ...

geometry - one interior angle of a pentagon has a measure of 120 degree. the ...

Geometry - Given: in triangle ABC, angle B= 120 degrees Prove: angle A does not...

College Math - In a certain triangle the measure of one angle is triple the ...

geometry - the measures of the interior angles of a pentagon are 2x, 6x, 4x-6, ...

geometry - if the measure of one angle of an isosceles triangle is 92 degrees. ...

Trigonometry - The measure of one of the equal angles in an isoscles trinagle ...

geometry - if the sum of the measure of four angles of a pentagon is 396, ...