SOLUTION: May you help me with these problems 1) The ratio of the angle measures of the acute angles in a right angle is 1:2 2) The measures of one angle of a triangle is 40 .The measures

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Question 795084: May you help me with these problems
1) The ratio of the angle measures of the acute angles in a right angle is 1:2
2) The measures of one angle of a triangle is 40 .The measures of the two other angles are in a ratio of 3:4
3) The measure of one angle of a triangle is 108. The measures of the other two angles are in a ratio of 1:5
Thank you very much for help me. I am sorry I just know a little English,when I write I can make mistake . I am sorry. Have a nice day.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
1) The ratio of the angle measures of the acute angles in a right angle is 1:2
Let x = the multiplier, the 3 angles always = 180, therefore:
90 + x + 2x = 180
3x = 180 - 90
x = 90/3
x = 30 is the multiplier, therefore
the two angles: 30 and 60 degrees
2) The measures of one angle of a triangle is 40 .The measures of the two other angles are in a ratio of 3:4
40 + 3x + 4x = 180
7x = 180 - 40
7x = 140
x = 20 is the multiplier
3(20) = 60 degrees, and 4(20) = 80 degrees
:
3) The measure of one angle of a triangle is 108. The measures of the other two angles are in a ratio of 1:5
108 + x + 5x = 180
Do it the same way