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13. Complete the paragraph proof.
Given: 21 and 22 are supplementary, and 22 and 23 are supplementary.
Prove: 21223
By definition of supplementary angles, m_1 = m22 = (a) and m22 - mz3 = (6)
Then, m_1 - m42 = m_2 + m23 by the
(c). Subtract mZ2 from each side. You
get m2l= (d), or 21 (e)

13 Complete the paragraph proof Given 21 and 22 are supplementary and 22 and 23 are supplementary Prove 21223 By definition of supplementary angles m1 m22 a and class=

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Answer:

Step-by-step explanation:

Your question did not paste correctly. I think it should be like:

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

Prove: ∠1 ≅ ∠3

By definition of supplementary angles,

m∠1 + m∠2 = (a) and

m∠2 + m∠3 = (b)

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

Subtract m∠2 from each side. You get m∠1 = (d), or ∠1 (e)

Complete the proof by filling in (a),(b), (c), (d) and (e).

Answer

(a) 180

(b) 180

(c) sum of supplementary angles

(d) m∠3

(e) ≅ ∠3

As theya re supplementary

  • <1+<2=180
  • <2+<3=180

Now

  • <1+<3=180

Hence proved

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