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10. Find the value of x. Find the value of y. Then find the measure of each angle. Show all
work.

10 Find The Value Of X Find The Value Of Y Then Find The Measure Of Each Angle Show All Work class=

Sagot :

Answers:

  • x = 25
  • y = 18
  • angle AXB = 90
  • angle AXC = 140
  • angle BXC = 50

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Explanation:

The angles 2x and 40 combine to a right angle which is 90 degrees.

2x+40 = 90

2x = 90-40

2x = 50

x = 50/2

x = 25

The angle 5y makes up the remaining 90 degrees.

5y = 90

y = 90/5

y = 18

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Use those x and/or y values to find the missing angle measures.

  • angle AXB = 5y = 5*18 = 90
  • angle BXC = 2x = 2*25 = 50
  • angle AXC = angle AXB + angle BXC = 90+50 = 140
  • or, angle AXC = 180-(angle CXD) = 180-40 = 140

To summarize:

  • angle AXB = 90
  • angle BXC = 50
  • angle AXC = 140
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