SOLUTION: find m<T if m<T is 20 more than four times its supplement

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Question 94053This question is from textbook geometry
: find m This question is from textbook geometry

Answer by praseenakos@yahoo.com(507) About Me  (Show Source):
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Question:
find m Answer:

If the two angles add to 180°, we say they "Supplement" each other.
Here measure of T is 20 more than four times its supplement

Assume that the supplement of T is = X

Four times X = 4X

20 more than 4X = 4X + 20

So T = 4X + 20
Since these angles are supplementary, X + T = 180


==> X + (4X + 20) = 180


==> X + 4X + 20 = 180


==> 5X + 20 = 180

Subtract 20 from both sides....


==> 5X + 20 - 20 = 180 - 20


==> 5X = 160


Divide both sides by 5


==> ++5X%2F5+=+160%2F5+


==> X = 32


So , T = 4X + 20 = 4 * 32 + 20 = 128 + 20 = 148 degrees.


So measure of T = 148 degrees.


Hope you found the explanation useful.


Regards.
Praseena.