A wooden plate is shaped as a pentagon. The measure of one angle is 80°. The remaining interior angles are obtuse and of equal measure.
What is the measure of each obtuse angle in the pentagon? 115° 160° 92°
135°

Question

A wooden plate is shaped as a pentagon. The measure of one angle is 80°. The remaining interior angles are obtuse and of equal measure.  
What is the measure of each obtuse angle in the pentagon?   115°   160°   92° 
  135°

apoorvk · Answer

sum of all interior angles of a pentagon = 540 degrees.
let the equal angles all measure 'x' degrees each. 
so,
x + x+ x+ x+ 80 = 540

can you solve this?^

anonymous · Answer

@apoorvk  can you explain for me, im lost?? :/

anonymous · Answer

@apoorvk ?? please i need to know how to work it out.

apoorvk · Answer

Umm okay.

Do you know that sum of al the interior angles of a pentagon measure 540 degrees?

anonymous · Answer

@angela210793  Now i do :). how do i get x?

apoorvk · Answer

add up the 4 x's

so,

4x + 80 = 540

this helps?

anonymous · Answer

is it 540-80  then that divided by 4?

apoorvk · Answer

yeah yeah!! and what would that equal to?

anonymous · Answer

115 thats the answer?

apoorvk · Answer

yes yes, 142% correct-o!!!! :)

anonymous · Answer

thanks! could you help with my other Q's when i post then??

apoorvk · Answer

oh sure!