Question

# Which of the given statements is true?

- The complement of an acute angle is obtuse.
- The supplement of an acute angle is obtuse.
- An obtuse angle has a complement.

Hint:

### An angle that measures more than 90 degrees and less than 180 degrees is known as an obtuse angle.

## The correct answer is: The supplement of an acute angle is obtuse.

### Solution:

- We have been given three statements in the question from which we have to find which statement is true.

Step 1 of 1:

We have given some statements and we have to find which statement is true.

A. The complement of an acute angle is obtuse.

This is not true, because the sum of complimentary angles are equal to 90^{o}

So, it is not possible that any one of the angle is more than 90^{o}.

B. The supplement of an acute angle is obtuse

This is true,

Because, The sum of supplementary angles are 180^{o}.

If any one angle is less than 90^{o}, then other has to be greater than 90^{o}.

Or if any one of the angle is acute then other has to be obtuse.

C.

An obtuse angle has a complement.

This is not true, because obtuse angle itself is greater than 90^{o}

Hence, Option B is true.

### Related Questions to study

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Note:

Whenever we use the inequality symbol < or> we do not include the end point.

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Note:

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### Which of the following statements about the given diagram is NOT true

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### Use the given scatter plots to answer the questions.

a) Does this scatter plot show a positive association, negative association, or non-association? Explain why.

b) Is there an outlier(s) in this data set? If so, approximately how old is that person and how much does he or she make in allowance each week?

c) Is this association linear or non-linear? Explain why.

d) What can you say about the relationship between your height and your allowance?

e) Do you think that being older means that you will get more allowance? In other words, do think this relationship is a causation or a correlation?

Causation explicitly applies to cases where one action causes the outcome of another action. Whereas, correlation is simply a relationship.

### Use the given scatter plots to answer the questions.

a) Does this scatter plot show a positive association, negative association, or non-association? Explain why.

b) Is there an outlier(s) in this data set? If so, approximately how old is that person and how much does he or she make in allowance each week?

c) Is this association linear or non-linear? Explain why.

d) What can you say about the relationship between your height and your allowance?

e) Do you think that being older means that you will get more allowance? In other words, do think this relationship is a causation or a correlation?

Causation explicitly applies to cases where one action causes the outcome of another action. Whereas, correlation is simply a relationship.

### The measure of an angle is 5 times the measure of its complement. Find the measure of each angle.

### The measure of an angle is 5 times the measure of its complement. Find the measure of each angle.

### Use the given scatter plots to answer the questions.

a) Does this scatter plot show a positive association, negative association, or non-association? Explain why.

b) Is there an outlier(s) in this data set? If so, approximately how tall is that person and how much does he or she make in allowance each week?

c) Is this association linear or non-linear? Explain why.

d) What can you say about the relationship between your height and your allowance?

e) Do you think that being taller means that you will get more allowance? In other words, do you think this relationship is causation or a correlation?

Causation explicitly applies to cases where one action causes the outcome of another action. Whereas, correlation is simply a relationship.