Yahoo Answers: Answers and Comments for The two acute angles of a right triangle are in the ratio 8:1. Find the number of degrees in each acute angle.? [Mathematics]
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Sat, 20 Jul 2019 15:24:09 +0000
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Yahoo Answers: Answers and Comments for The two acute angles of a right triangle are in the ratio 8:1. Find the number of degrees in each acute angle.? [Mathematics]
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From TomV: The sum of the angles is 90°. Broken into an 8...
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Sat, 20 Jul 2019 15:49:02 +0000
The sum of the angles is 90°. Broken into an 8:1 ratio requires a total of 9 equal parts of which the larger angle contains 8 of those parts and the smaller contains 1. 90° divided into 9 parts places 10° in each part. Hence the two angles would be 8*10 = 80° and 1*10 = 10°.
Ans: 80° and 10°

From sparrow: Since all 3 angles of the triangle must equal ...
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Sun, 21 Jul 2019 21:43:17 +0000
Since all 3 angles of the triangle must equal 180,
you could set up an equation like this.
x + 8x + 90 = 180
9x = 90
x = 10
One of the angles would equal 10, and the other
8(10) = 80.
So 10 and 80.

From JSG: They are 80 and 10 degrees. A right angle is 9...
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Sun, 21 Jul 2019 19:37:49 +0000
They are 80 and 10 degrees. A right angle is 90 degrees and there are 180 degrees in a triangle, so the remaining two angle measures have to add up to 90 degree.
if the measures of the two acute angles are in the ratio 8:1, then there are 9 parts.
90/9 is 10, so 8:1 becomes 80:10.

From David: The angles are 80 and 10 degrees
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Sun, 21 Jul 2019 11:19:50 +0000
The angles are 80 and 10 degrees

From RR: The internal angles of any triangle total 180 ...
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Sun, 21 Jul 2019 06:55:09 +0000
The internal angles of any triangle total 180 degrees.
In this right angles triangle, one angle has to be 90 degrees, leaving 90 degrees for the total of the unknown angles.
You need to divide the remaining 90 degrees in a ratio of 8:1.
With ratios, add them together to find the number of parts:
8 + 1 = 9 parts
1 part = 90x 1/9 = 10 degrees
8 parts = 8 x 10 = 80 degrees.
ANS. The angles are 80 degrees and 10 degrees.

From Krishnamurthy: The two acute angles of a right triangle are i...
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Sun, 21 Jul 2019 04:40:22 +0000
The two acute angles of a right triangle are in the ratio 8 : 1.
The number of degrees in each acute angle:
80 degrees and 10 degrees

From az_lender: 80 degrees and 10 degrees
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Sat, 20 Jul 2019 19:50:56 +0000
80 degrees and 10 degrees

From Como: 
9 parts_________90°
1 part__________10°
8 p...
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Sat, 20 Jul 2019 19:07:58 +0000

9 parts_________90°
1 part__________10°
8 parts_________80°
Acute angles are 10° and 80°

From lenpol7: The sum of the two remaining angles is 90 degr...
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Sat, 20 Jul 2019 16:24:02 +0000
The sum of the two remaining angles is 90 degrees.
Add the ratios 8 + 1 = 9
Divide 90 by 9 . This will give the alue of one ratio.
Hence 90/9 = 10
Hence 8 x 10 = 80
8:1 :: 80:10 are the two remaining angles.

From DWRead: 8x+1x = 90°
x = 10°
8x = 80°
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Sat, 20 Jul 2019 15:29:46 +0000
8x+1x = 90°
x = 10°
8x = 80°

From Robert: The two angles must add up to 90º
So we have ...
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Sat, 20 Jul 2019 15:26:17 +0000
The two angles must add up to 90º
So we have x + 8x = 90, from which
x = 10
Thus the angles are 10º and 80º