Question

Write the converse of this statement.if two angles are both obtuse, the two angles are equal.

Answer 1

To form the converse of the conditional statement, interchange the hypothesis and the conclusion.

Given conditional statement: "if two angles are both obtuse, the two angles are equal".

Here,

• hypotesis is:  two angles are both obtuse,
• conclusion is:  two angles are equal.

Then the converse statement will be: "If two angles are equal, then two angles are both obtuse".

Answer 2

Answer:

The converse statement is:

If two angles are equal,the two angles are both obtuse.

Step-by-step explanation:

The converse of a conditional statement interchange the hypothesis and the conclusion.

The hypothesis is a statement that is a proposed explanation of a phenomenon and the conclusion is a statement that is drawn from the hypothesis and is a decision.

i.e. If p then q

where p is hypothesis and q is conclusion.

we are given statement as:

if two angles are both obtuse, the two angles are equal.

i.e. the Hypothesis(p) is: Two angles are both obtuse.

and conclusion(q) is: Two angles are equal.

Hence, the converse statement is:

If two angles are equal,the two angles are both obtuse.