Question

# Use the Law of Detachment to make a valid conclusion in the true situation.

If the measure of an angle is less than 90°, then it is an acute angle.

Hint:

### Law of Detachment states that if p q is true and it is given that p is true then we can conclude

that q is also true. Here, the statement is termed as Hypothesis and the statement q is termed as conclusion.

## The correct answer is: Hence, we are unable to conclude anything.

### Consider the statement into two separate statements

p: The measure of an angle is less than 90°

q: The angle is an acute angle.

So we can write the given statement “If the measure of an angle is less than 90°, then it is an acute angle” as:

It is given that

𝑚∠𝑄 = 165°

Angle Q is greater than 90^{o} which means the p statement is false and hence we cannot conclude anything.

Final Answer:

Hence, we are unable to conclude anything.

### Related Questions to study

### Find JK

### Find JK

### A girl bought two packs of gum from the store. Later she thought she would need some more gum and went back to the store to buy three more packs of gum. If she paid a total of $5.70 for gum, how much was each pack of gum?

### A girl bought two packs of gum from the store. Later she thought she would need some more gum and went back to the store to buy three more packs of gum. If she paid a total of $5.70 for gum, how much was each pack of gum?

### Use the Law of Detachment to make a valid conclusion in the true situation.

If angles form a linear pair, then they are supplementary.

∠𝐴 𝑎𝑛𝑑 ∠𝐵 form a linear pair.

### Use the Law of Detachment to make a valid conclusion in the true situation.

If angles form a linear pair, then they are supplementary.

∠𝐴 𝑎𝑛𝑑 ∠𝐵 form a linear pair.

### A man buys four books from the store and a Preferred Reader discount card for $20. Later that day, he goes back and buys five more books. He also got a $5 discount using his new card. If he spent a total of $87 at the bookstore, how much did each book cost assuming every book cost the same amount?

### A man buys four books from the store and a Preferred Reader discount card for $20. Later that day, he goes back and buys five more books. He also got a $5 discount using his new card. If he spent a total of $87 at the bookstore, how much did each book cost assuming every book cost the same amount?

### Show the conjecture is false by finding a counterexample. If the product of two numbers is even, then the two numbers must be even.

### Show the conjecture is false by finding a counterexample. If the product of two numbers is even, then the two numbers must be even.

### Dimple Bought a Calculator and binder that were both 15% off the original price. The

original price of binder was Rs 6.20. Justin spent a total of Rs 107. 27 . What was the

original price of the calculator?

The x + 2 = 6 x+2=6x, plus, 2, equals 6 contains a variable. We call this type of equation with a variable an algebraic equation. Finding the variable value that will result in a true equation is typically our aim when solving an algebraic equation.

¶Variables or constants are the two types of measurable quantities. A variable is a quantity with a varying value, and the constant value is nothing but a constant.

¶**Steps to writing Variable Equation**

1) Identify the variables that represent the unknowns.

2) Convert the issue into variable expressions in algebra.

3) Determine the variables' values to solve the equations for their true values.

### Dimple Bought a Calculator and binder that were both 15% off the original price. The

original price of binder was Rs 6.20. Justin spent a total of Rs 107. 27 . What was the

original price of the calculator?

The x + 2 = 6 x+2=6x, plus, 2, equals 6 contains a variable. We call this type of equation with a variable an algebraic equation. Finding the variable value that will result in a true equation is typically our aim when solving an algebraic equation.

¶Variables or constants are the two types of measurable quantities. A variable is a quantity with a varying value, and the constant value is nothing but a constant.

¶**Steps to writing Variable Equation**

1) Identify the variables that represent the unknowns.

2) Convert the issue into variable expressions in algebra.

3) Determine the variables' values to solve the equations for their true values.