Question

SELECT THE CORRECT ANSWER. GIVEN: LINE L AND LINE M INTERSECT PROVE: ∠⁢1≅ ∠⁢3 . ∠⁢1IS SUPPLEMENTARY TO ∠⁢4 3. LINEAR PAIR THEOREM M∠⁢1+M∠⁢2=180∘ 3. DEFINITION OF SUPPLEMENTARY ANGLES .M∠1+M∠3=180∘ 3. DEFINITION OF SUPPLEMENTARY ANGLES ∠3IS SUPPLEMENTARY TO ∠2 3. LINEAR PAIR THEOREM

Answer 1

The missing reasons are;

Definition of linear pair.

Definition of supplementary angles.

Substitution.

Subtraction property of equality.

Definition of congruence.

What is the Angle proof?

The angles are supplementary because the angles 1 and 2, 2 and 3 form a linear pair and thus because of the definition of linear pair, they are supplementary angles.

The sum of angles of 1 and 2, 2 and 3 is equal to 180 because these pair of angles are supplementary angles. Supplementary angles are those angles whose sum is 180 degrees.

Reason 5:

m∠1 + m∠2 = 180°

m∠2 + m∠3 = 180°

Substitute m∠2 + m∠3 in place of 180 for the first sum.

So, m∠1 + m∠2 = m∠2 + m∠3

Using subtraction property of equality and thus we get:

m∠1 = m∠3

As angle 1 is equal to angle 3, therefore by definition of congruence, these angles are congruent.

So, m∠1 ≅ m∠3

Read more about Angle Proof at; brainly.com/question/24839702

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