Question

Use the conditional statement to answer the question.

If an angle measures 43°, then the angle is acute.



Are the statement and its inverse true?


Both the statement and its inverse are false.

The statement is true, but the inverse is false.

The statement is false, but the inverse is true.

Both the statement and its inverse are true.

Answer 1

Both the statement and its inverse are true.

Explanation:

To understand this we need to know that an acute angle have to measure less than 90° to be called as such. The opposite is an obtuse angle that have to measure more than 90° to be called as such.

In this statement 43° is in deed acute, since that 43° < 90°ç

Its opposite statement is also true, because the opposite angle is 317° which is more than 90°, so the opposite angles is obtuse by definition.

Answer 2

Hi Lindsay882,

Your Question:

Use the conditional statement to answer the question.

If an angle measures 43°, then the angle is acute.

Are the statement and its inverse true?

Both the statement and its inverse are false.

The statement is true, but the inverse is false.

The statement is false, but the inverse is true.

Both the statement and its inverse are true.

Solution:

Any angle below 90 degrees is acute.

Any angle higher than 90 degrees its obtuse.

Answer:

43 degrees = acute angle

D. Both the statement and its inverse are true.