SOLUTION: Prove this using indirect proof in two-column form. Given: 𝑀𝑃 ⊥ ̅NO Prove: ∠NPM is not a straight angle

Question 1176856: Prove this using indirect proof in two-column form.
Given: 𝑀𝑃 ⊥ ̅NO
Prove: ∠NPM is not a straight angle

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Prove this using indirect proof in two-column form.
Given: ⊥ ̅
Prove: ∠ is not a straight angle

statement........................................................reason

1) ∠is a straight angle ...........1) Assumpe opposite
2) m∠°.................... 2) Definition of a striaght angle
3)⊥ ̅ ....................................3) Given
4) ∠ is a right angle................. 4) definition of perpendicular lines
5) m ∠}°.................... 5) definition of a right angle
6) m ∠ is not a straight angle................ contradiction of steps 2 and 5
7) ∠ is not a straight angle..................... due to the contradiction between 2 and 5, we know that the assumption that WE INTRODUCED
in the first step (∠ is a straight angle) is .
Therefore, the opposite must be : ∠ is a straight angle

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