SOLUTION: Find the measure of the angle T if the measure of the angle T is 20 more than four times its supplement.

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Question 209575This question is from textbook Geometry
: Find the measure of the angle T if the measure of the angle T is 20 more than four times its supplement. This question is from textbook Geometry

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Find the measure of the angle T,
if the measure of the angle T is 20 more than four times its supplement.
:
The supplement of T = (180-T)
;
Write an equation for the statement:
"angle T is 20 more than four times its supplement."
T = 4(180-T) + 20
T = 720 - 4T + 20
T + 4T = 720 + 20
5t = 740
T = 740%2F5
T = 148 degrees
:
;
Check solution in original equation:
148 = 4(180-148) + 20
148 = 4(32) + 20
148 = 128 + 20