Question

The main question is on the image below (read image first)These are just the choices 1) A) IT MEASURES LESS THAN 90 DEGREES B) AN ANGLE IS ACUTE ————————————————2) A) IT MEASURES LESS THAN 90 DEGREES B) AN ANGLE IS ACUTE ————————————————-3) A) OBTUSE B) ACUTE ————————————————-4) A) TRUE B) FALSE ————————————————5) A) TRUE B) FALSE ————————————————

Answer 1

Step 1: State the definition of conditional and biconditional statements

Symbolically Conditional statement becomes:

P ⇒ Q

BiConditional statement becomes:

P ⇔ Q

Step 2: Choose the right respoinse for 1,2,3, 4, and 5

The truth table for a biconditional statement is as shown below

In this case,

`\begin{gathered} P=\text{''An angle is acute''} \\ Q=\text{''It's measure is less than 90 degr}ees\text{''} \end{gathered}`

Therefore,

1) Conditional: An angle is acute

2) then: It's measure is less than 90 degrees

3) if an angle measures less than 90 degrees, then it is acute

4) the conditional and the converse are true

5) so the biconditional is true

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