SOLUTION: If m<1 is twice the measure of its complement (<2), then determine the measure of each angle.
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Question 996113
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If m<1 is twice the measure of its complement (<2), then determine the measure of each angle.
Answer by
jim_thompson5910(35256)
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x = measure of angle 1
y = measure of angle 2
"m<1 is twice the measure of its complement (<2)" so,
m < 1 = 2*( m < 2)
x = 2*y
The two angles are complementary, so they add to 90 degrees
x+y = 90
2y+y = 90 ... replaced x with 2y (see equation above)
3y = 90
3y/3 = 90/3
y = 30
If y = 30, then x = 2*y = 2*30 = 60
The two angles are
30 and 60