Find the measure of angle T if measure of angle T is 20 more than 4 times it supplement.?

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Find the measure of angle T if measure of angle T is 20 more than 4 times it supplement.?

2006-09-19 13:59:11 · 3 answers · asked by lynnette o 1 in Science & Mathematics ➔ Mathematics

3 answers

Supplementary angles have a sum of 180. so:
the supplement of t = 180 -t
then by the problem,
t = 4 x (180 - t ) + 20
t = 720 - 4 t +20
5 t = 740
t = 740 / 5 =148
Then the angle required is 148 degrees .Its supplement is 32.
checking, 148 = (4x32) +20 =128 +20 = 148 , hence true.

2006-09-20 04:47:38 · answer #1 · answered by jazideol 3 · 0⤊ 0⤋

the equation to solve this problem is T + 4T + 20 = 180 => 5T = 160 => T = 32. Checking 32 + 4*32 + 20 = 52 + 128 = 180.

2006-09-19 14:04:45 · answer #2 · answered by flyfisher_20750 3 · 0⤊ 0⤋

T = 4(180 - T) + 20

T = 720 - 4T + 20
5T = 700
T = 140

ANS : 140Â°

2006-09-19 15:08:28 · answer #3 · answered by Sherman81 6 · 0⤊ 0⤋