SOLUTION: Four angles of a Pentagon are 110� 99� 98� and 121�,calculate the fifth angles

Question 1111733: Four angles of a Pentagon are 110� 99� 98� and 121�,calculate the fifth angles
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52818)   (Show Source): You can put this solution on YOUR website!
.

The sum of interior angles of a pentagon is equal to (5-2)*180 = 3*180 = 540 degrees. It gives you an equation 110� + 99� + 98� + 121� + x = 540� for the missed 5-th angle, which implies x = 540 - (110 + 99 + 98 + 121) = 112 degrees ANSWER.

Solved.

----------------
For many other solved problem on missed angles see the lesson
    - Solved problems on missed angle of a polygon
in this site.

Answer by josgarithmetic(39621)   (Show Source): You can put this solution on YOUR website!
The pentagon can be cut into three triangles so the total sum of the measures of the interior angles is 3*180 degrees, or 540 degrees.

Your unknown angle:
RELATED QUESTIONS
Four angles of a pentagon are equal and the fifth is 60°. Find the equal angles and show (answered by solver91311,Edwin McCravy)
Four angles of a pentagon are equal and the fifth is 60°. Find the equal angles and... (answered by Edwin McCravy)
Four of the angles of a pentagon are 136 degrees, 81 degrees, 140 degrees and 89 degrees. (answered by Alan3354)
four interior angles of a pentagon each measure 110. what is the measure of the fifth... (answered by checkley77)
Four interior angles of a certain irregular pentagon are 38*, 96*, 112*, and 133*. Find... (answered by doukungfoo)
Please help me solve this question: Four angles of a pentagon are equal and the fifth is... (answered by Edwin McCravy)
four of the angles of a pentagon have measures 30,60,120, and 165. find the measure of... (answered by vksarvepalli)
If four angles of a pentagon have measures 100,96,87 and 97, fing the measure of the... (answered by mangopeeler07)
If four angles of a pentagon have measures 100,96,87 and 97, find the measure of the... (answered by vleith,stanbon)