Question 94054
Question:

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

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/5 = 160/5 }}}



==> 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.