Quiz (1 point)
Given that:
m∠XYZ = 180
∠PYZ is a right angle
Prove that:
m∠XYP = 90
The following properties may be helpful:
- if m∠ABC = 180, then ∠ABX and ∠XBC are supplementary
- if ∠ABC and ∠DEF are supplementary, then (m∠ABC) + (m∠DEF) = 180
- if ∠ABC is a right angle, then m∠ABC = 90
if the following are true:
- a + b = c
- b = d
then a + d = c
if a + b = c, then a = c + (b ⋅ (-1))
if y = 180 + (90 ⋅ (-1)), then y = 90
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.