SOLUTION: I would like if someone could help me with this problem. Find the measure of angle T if the measure of angle T is 20 more than four times its supplement. I am having strug

Question 99509This question is from textbook Geometry
: I would like if someone could help me with this problem.
Find the measure of angle T if the measure of angle T is 20 more than four times its supplement.
I am having struggles and this assignment is due tomorrow so please help me. Thank you! This question is from textbook Geometry

Answer by doukungfoo(195) (Show Source): You can put this solution on YOUR website!
ok first thing is define supplement angles:
angles are supplementry if their sum equals 180.
so now lets define the angles.
The first angle is angle T
Lets call the second angle X
Now by the definition of supplementry angles we know that
angle T plus angle X equals 180 or

Now the question states that angle T is 20 more than four times its supplement.
Lets write this sentence as an equation:

So just replace the T in with 20+4X like this:

Now just solve for X

combine 4X and X
subtract 20 from both sides
divide both sides by 5

Now that you have found X=32 just replace X in
to solve for T

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