Question

Geo: Worth 50 points and I will give brainliest to right answer! #24

Answer 1

1. ∠1 ≅ ∠3                                              1. given

  ∠1 and ∠6 are supplementary angles

  ∠3, ∠4, and ∠5 are supplementary angles

2. m∠1 = m∠3                                        2. definition of congruency

3. m∠1 + m∠6 = 180°                             3. definition of supplementary angles

   m∠3 + m∠4 + m∠5 = 180°

4.  m∠3 + m∠4 + m∠5 = m∠1 + m∠6     4. transitive property

5.  m∠3 + m∠4 + m∠5 = m∠3 + m∠6     5. substitution property

6.  m∠4 + m∠5 = m∠6                             6. subtraction property of equality