jtayag0622
New member
- Joined
- Sep 10, 2018
- Messages
- 41
Hi guys,
I tried to write down an indirect proof in paragraph form for this:
This is what I did so far:
Assume temporarily that ∠Y is not acute, so it’s either obtuse, right or straight angle. We know that the sum of the interior angles of angle.
Case 1: ∠Y is obtuse
We know that a triangle can only have one obtuse angle, so this contradicts the given information that m∠X = 100 and x is obtuse. So this assumption must be false.
Case 2: ∠Y is right angle or straight angle
X + Y + Z = 180
90+100+z =180
Z = -10
180+100 +z= 180
Z = -100
This contradicts the fact shapes cannot have negative angle measure. So this assumption must be false.
Both assumptions ended with a contradiction…
I didn't continue it since I think I'm lost so please help me
I tried to write down an indirect proof in paragraph form for this:
This is what I did so far:
Assume temporarily that ∠Y is not acute, so it’s either obtuse, right or straight angle. We know that the sum of the interior angles of angle.
Case 1: ∠Y is obtuse
We know that a triangle can only have one obtuse angle, so this contradicts the given information that m∠X = 100 and x is obtuse. So this assumption must be false.
Case 2: ∠Y is right angle or straight angle
X + Y + Z = 180
90+100+z =180
Z = -10
180+100 +z= 180
Z = -100
This contradicts the fact shapes cannot have negative angle measure. So this assumption must be false.
Both assumptions ended with a contradiction…
I didn't continue it since I think I'm lost so please help me