PLEASE HELP ASAP!!

Which item can be used as a reason in the second column of a two-column proof?
a. a premise
b. a theorem
c. a counterexample
d. a conjecture

What reason should go in box 2, of the two column proof? (picture given)
a. Definition of multiplication
b. Definition of supplementary angles
c. Definition of complementary angles
d. Definition of angles

PLEASE HELP ASAP Which item can be used as a reason in the second column of a twocolumn proof a a premise b a theorem c a counterexample d a conjecture What rea class=

Respuesta :

Given angle 1  and angle 2 are supplementary angles

When two angles are said to be supplementary then the sum of angles = 180 degree

<1 + < 2= 180

Two angles are supplementary angles whose measures sum to 180 degree is a theorem

a theorem can be used as a reason in the second column of a two-column proof

Definition of supplementary angles states that two angles are supplementary angles whose measures sum to 180 degree  

Definition of supplementary angles is the reason should go in box 2, of the two column proof

You can use the fact that two angles are called supplementary if their sum is 180 degrees.

The answers are:

The reason in the second column of a two column proof is

  • Option b. A theorem

The reason that should go in box 2 of the two column proof is

  • Option b. Definition of supplementary angles

What is premise?

A previous statement from which the next statement is proved or is based on for its validity.

What is a theorem?

A proved mathematical statement is a theorem.

What is a counterexample?

An example given to counter or deny a statement is called counterexample for that statement.

What is a conjecture?

A mathematical statement which is laid down but not proved yet is called a conjecture.

What are supplementary angles?

Two angles are called supplementary if their sum is 180 degrees.

Thus, we have:

The reason in the second column of a two column proof is

  • Option b. A theorem

The reason that should go in box 2 of the two column proof is

  • Option b. Definition of supplementary angles

Learn more here about supplementary angles here:

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