Question

1- If two angles have equal measures, then the angles are congruent.

Answer 1

Answer:


1 - false

2 - No, if two angles are equal measures ,then the angles isn't  the same measures.

3 -yes, it is true

I hope it helps

Reem

Answer 2

Answer:  The answers are

(1) True

(2) "If two angles are congruent, then they have equal measures."

(3) True.

Step-by-step explanation:  We are given the following conditional statement :

" If two angles have equal measures, then the angles are congruent."

We are to

(1) check whether the statement is true or false.

(2) write the converse of the given conditional statement.

(3) check whether the converse is true or false.

We know that

Any two angles are congruent if and only if they have equal measures.

So, the given statement is obviously true.

Also, the converse of a conditional statement "if p, then q" is "if q then p".

Therefore, the converse is

"If two angles are congruent, then they have equal measures."

Since the statement is true both ways, so the converse is also true.

Thus, the answers are

(1) True

(2) "If two angles are congruent, then they have equal measures."

(3) True.