Since XPW and YPZ are collinear, we can make the following 2 claims:

m∠XPY + m∠YPW = 180

m∠YPW + m∠WPZ = 180

Notice that both claims contain m∠YPW.

Next, we subtract m∠YPW from both sides:

m∠XPY = 180 - m∠YPW

m∠WPZ = 180 - m∠YPW

Quiz (1 point)

• if m∠ABC = 180, then (m∠ABX) + (m∠XBC) = 180

• if a + b = c, then a = c + (b ⋅ (-1))

• if m∠ABC = 180, then (m∠ABX) + (m∠XBC) = 180

• if a + b = c, then b = c + (a ⋅ (-1))

• if the following are true:

  • a = c
  • b = c

  then a = b

Please write your proof in the table below. Each row should contain one claim. The last claim is the statement that you are trying to prove.

Step	Claim	Reason (optional)	Error Message (if any)
1
2
3
4
5
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8
9
10

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