What is the next step in the proof? choose the most logical approach.

a.

statement: ∠1 ≅ ∠8 and ∠2 ≅ ∠7

reason: congruent supplements theorem

b.

statement: m∠3 + m∠4 = 180° and m∠7 + m∠8 = 180°

reason: linear pair theorem

c.

statement: m∠3 + m∠5 = 180° and m∠4 + m∠6 = 180°

reason: definition of supplementary angles

d.

statement: ∠7 ≅ ∠6 and ∠8 ≅ ∠5

reason: vertical angles theorem

statement D is correct.

Statement: ∠7 ≅ ∠6 and ∠8 ≅ ∠5

Reason: Vertical Angles Theorem

Step-by-step explanation:

Given that

3 ≅ ∠7 and ∠4 ≅ ∠8

from statement 2 because they are corresponding angles.

∠8 ≅ ∠5

because its vertical angles

The vertical angles theorem is about angles that are opposite each other.

So,

∠4 ≅ ∠8 and ∠8 ≅ ∠5

which means

Hence,

∠3 = ∠7

∠4 = ∠5

they are known as interior alternative angles.

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation: