Question

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

work.

Answer 1

Answers:

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

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Step-by-step 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