Question

consider the statement \an acute angle, a, measures 0° < m∠a < 90°\. a. write the statement as a conditional statement. b. if the conditional statement is true, write the converse of the conditional. c. if the conditional statement is false, write a counterexample for the conditional. d. if the converse statement is true, write a true biconditional statement. e. if the converse statement is false, give a counterexample for the converse. a. write the given statement as a conditional statement. choose the correct answer below. a. if ∠a is not an acute angle, then 0° < m∠a < 90°. b. if ∠a is an acute angle, then 0° < m∠a < 90°. c. if 0° < m∠a < 90°, then ∠a is an acute angle. d. if ∠a is an acute angle, then 90° > m∠a > 90°

Explanation:

A conditional statement has the form "if p, then q". Here, p is "an angle is acute" and q is "the measure of the angle is between 0 and 90 degrees".

Answer:

B. If ∠A is an acute angle, then 0° < m∠A < 90°