anonymous
  • anonymous
In the following figure, the measure of angle 1is less than twice the measure of angle 2. Find the measures of angle 1and angle 2. Round your answers to the nearest hundredth of a degree.
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
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anonymous
  • anonymous
Sorry I think I wrote the question wrong
anonymous
  • anonymous
In the following figure, the measure of angle 1 is 14 degrees less than twice the measure of angle 2. Find the measures of angle 1 and angle 2. Round your answers to the nearest hundredth of a degree.

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anonymous
  • anonymous
1=2(2)-14
anonymous
  • anonymous
theefoe...x=2y-14
anonymous
  • anonymous
x+y=90
anonymous
  • anonymous
hence,,,,,,, y+2y-14=90
anonymous
  • anonymous
3y=104
Directrix
  • Directrix
Let m<2 = x Then, m<1 = 2x - 14 m<1 + m<2 = 90 --> If the exterior sides of 2 adjacent acute angles lie in perpendicular rays, the angles are complementary (sum to 90) 2x - 14 + x = 90 3x - 14 = 90 3x = 104 x = 104/3 = 34.67
anonymous
  • anonymous
therefore...... y=104/3=>
anonymous
  • anonymous
34.67
anonymous
  • anonymous
x=2y-14=>2*34.67-14=55.34
Directrix
  • Directrix
m<1 = 34.67 m<2 = 2(104/3) - 14 = 55.33
anonymous
  • anonymous
x=55.34 and y= 34.67
anonymous
  • anonymous
@directrix..yeah right

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