Complete the paragraph proof.
given: angle 1 and
2 are supplementary, and angle 2 and angle 3 are supplementary.
prove: angle 1 is equal to angle 3
by definition of supplementary angles, m_1 + m22 = _ (a) and m_2 + m_3 =)
then, m_1+m_2 = m_2+m_3 by ). subtract m_2 from each side. you get m_1= (d), or angle )

(a) 180°

(b) 180°

(c) substitution property

(d) m∠3

(e) ∠3

Step-by-step explanation:

Definition: Two angles are supplementary if they add up to 180°

Proof:

By definition of supplementary angles, m∠1 + m∠2 = 180° (a) {∠1 and ∠2 are supplementary - given}

and  m∠2 + m∠3 = 180° (b) {∠2 and ∠3 are supplementary - given}

Then, m∠1 + m∠2 = m∠2 + m∠3 by the substitution property (c)

Subtract m∠2 from each side. You get m∠1 = m∠3 (d)

or ∠1 ≅ ∠3 (e)

(a) 180°

(b) 180°

(c) transitive property of equality

(d) m∠3

(e) ∠3

Step-by-step explanation:

Given : ∠1 and ∠2 are supplementary and ∠2 and ∠3 are supplementary,

Prove : ∠1 ≅ ∠3 ,

By the definition of supplementary angles,

m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180°,

Then,  m∠1 + m∠2 = m∠2 + m∠3 by the transitive property of equality,

Subtract m∠2 from each sides,

m∠1 = m∠3,

or ∠1 ≅ ∠3

Hence, proved

1,8,15,22,29,36,43,50

step-by-step explanation: