SOLUTION: Find the measure of an angle whose supplement measures 20 more than twice its compliment.
This is what I did, but am not sure if it is correct!
-->20 + 2x = 90
-->2x = 70
-
Algebra.Com
Question 215094: Find the measure of an angle whose supplement measures 20 more than twice its compliment.
This is what I did, but am not sure if it is correct!
-->20 + 2x = 90
-->2x = 70
-->x = 35
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let
x = measure of unknown angle
y = measure of complement angle to angle 'x'
z = measure of supplement angle to angle 'x'
Since we know that 'x' and 'y' are complement angles (ie the angles add to 90 degrees), this means . Likewise, 'x' and 'z' are supplement angles (the angles add to 180 degrees), so .
Furthermore, we're told that we have an "angle whose supplement measures 20 more than twice its compliment" which means that
Start with the first equation.
Subtract x from both sides.
----------------
Move onto the second equation.
Subtract x from both sides.
----------------
Move to the third equation.
Plug in
Plug in
Distribute.
Combine like terms on the right side.
Subtract from both sides.
Add to both sides.
Combine like terms on the left side.
Combine like terms on the right side.
----------------------------------------------------------------------
Answer:
So the solution is
This means that the unknown angle is 20 degrees.
RELATED QUESTIONS
Find the measure of the given angles.
An angle whose supplement is 20" more than twice... (answered by ankor@dixie-net.com)
find measure of the angle
if its supplement measures 30 more than twice its... (answered by Inkyvoyd)
the supplement of an angle is four more than twice its compliment
Find the measure of... (answered by nerdybill)
Find the measure of an angle such that twice the measure of its compliment is 16 more... (answered by Math-Help)
Find the measure of an angle whose supplement measures 39 degrees more than twice its... (answered by malakumar_kos@yahoo.com)
Find the measure of an angle whose supplement measures 43 degrees more than twice its... (answered by mananth)
an angle measures 3 more than twice its supplement. what is the measure of the angle... (answered by Fombitz)
What is the measure of an angle if the measure of its supplement is 39 degrees more than... (answered by robertb)
I need help solving this word problem.... {{{Find the measure of an angle whose... (answered by stanbon)