IDNLearn.com provides a seamless experience for finding and sharing answers. Receive prompt and accurate responses to your questions from our community of knowledgeable professionals ready to assist you at any time.

Question 1. Determine whether the biconditional statement is true or false. If false, give a counterexample.

An angle is a straight angle if and only if it is not acute.


A. false; m∠1 = 180°, ∠1 is not an acute angle
B. true
C. false; m∠1 = 63°, ∠1 is not a straight angle
D. false; m∠1 = 102°, ∠1 is not a straight angle

Question 2. Determine whether the biconditional statement is true or false. If false, give a counterexample.

An angle is a right angle if and only if it is not obtuse.


1. false; m∠1 = 70°, ∠1 is not a right angle
2. false; m∠1 = 90°, ∠1 is not an obtuse angle
3. true
4. false; m∠1 = 120°, ∠1 is not a right angle


Sagot :

Answer:

Q1

It is false as straight angle is not acute, obtuse or right.

Correct choice is

  • D. false; m∠1 = 102°, ∠1 is not a straight angle

Q2

It is false as right angle is not acute, obtuse or straight.

Correct choice is

  • 1. false; m∠1 = 70°, ∠1 is not a right angle.