the sum of the measures of two complementary angles is 90 degrees. If one angle measures 24 degrees more than twice the measure of the other, find the measure of the smaller angle
2006-11-15 13:50:21 · 7 answers · asked by <3Aja*Marissa*Ashley<3 2 in Science & Mathematics ➔ Mathematics
hi if smaller angle is say x
then other angle would be 2x+24
since they are complimentary their sum would be 90
so (2x+24)+x = 90
hence x=22 which is small angle
2006-11-15 13:56:15 · answer #1 · answered by mane 5 · 0⤊ 0⤋
Complemetary angles must add to 90°.
x = one of the angles
2x + 24 = other angle
x + 2x + 24 = 90
3x + 24 = 90
3x = 66
x = 22
90 - 22 = 68
The two angles are 22° and 68°.
2006-11-15 13:55:41 · answer #2 · answered by Anonymous · 0⤊ 0⤋
Take what the others said. Plug in 22 to the equation. 44 + 24 = 68. 68 + 22 = 90, so 22 is the smaller angle.
2006-11-15 13:59:19 · answer #3 · answered by ???? 3 · 0⤊ 0⤋
Let the smaller angle be x.
2x+24+x=90
3x=66
x=22 degrees
2006-11-15 13:54:08 · answer #4 · answered by buaya123 3 · 1⤊ 0⤋
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2016-12-10 09:57:23 · answer #5 · answered by hergenroeder 4 · 0⤊ 0⤋
2x+x+24=90
3x=66
x=22
2006-11-15 13:54:29 · answer #6 · answered by 7 · 0⤊ 0⤋
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2006-11-15 13:57:45 · answer #7 · answered by Anonymous · 0⤊ 1⤋