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
