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

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

Answer by praseenakos@yahoo.com(507) (Show Source): You can put this solution on YOUR website!
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

==>

==> 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.

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