Which of the following statements about special angle relationships is not correct?

a. it is possible for angles to be both vertical and complementary.

b. it is possible for an obtuse angle to have both a complement and a supplement.

c. it is possible for an acute angle to have both a complement and a supplement.

d. it is possible for angles to be both congruent and supplementary

Option: B is the answer.

Step-by-step explanation:

As we know that an obtuse angle is an angle whose measure is greater than 90° but strictly less than 180°

Now the complement of such a angle could not exist because complement of an angle B is defined as:

A+B=90

A=90-B

now here B has measure >90° so on subtracting this quantity with 90° we will get a negative quantity and measure of any angle can't be negative.

Hence, It is not possible for an obtuse angle to have both a complement and a supplement.

We are asked about the incorrect statement.

Hence option B is the answer.

(  B. It is possible for an obtuse angle to have both a complement and a supplement )

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice

5.5

step-by-step explanation: