SOLUTION: Write an indirect proof that two obtuse angles cannot for a linear pair.

Question 835723: Write an indirect proof that two obtuse angles cannot for a linear pair.
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!

Let the two obtuse angles are ∠A and ∠B,

Assume they form a linear pair.

1. m∠A + m∠B = 180�   by definition of a linear pair.
2. m∠A > 90�          by definition of "obtuse angle"
3. m∠B > 90�          by definition of "obtuse angle"
   ----------
4. m∠A + m∠B > 180�  adding unequals to unequals in the same order gives
                      unequals in the same order.

Statement 4 contradicts statement 1.

Therefore obtuse angles ∠A  and ∠B cannot form a linear pair.

Edwin

RELATED QUESTIONS
how can you write an indirect proof that two obtuse angles cannot form a linear... (answered by richard1234)

write an indirect proof for the following statements: 1. a scalene triangle cannot have... (answered by Edwin McCravy)

A. Directions. Use indirect proof to prove each statement. Write your answer on a... (answered by Solver92311)

Write a proof that shows vertical angles are congruent. Note: You cannot use the... (answered by Boreal)

tell whether the statement is always , sometimes or never true. 1. Two complementary... (answered by solver91311)

Prove that the product of two odd numbers is odd, using an indirect proof and a proof by... (answered by josgarithmetic,ikleyn)

Here are three problems I have. The answers for these questions need to be ither always,... (answered by solver91311)

Given: LM=MN Prove: LM is congruent to MN Write a direct proof in two column form and (answered by jim_thompson5910)

How do you write a two column proof for angles that are parallel to each... (answered by solver91311)