Given: Lines a and b are parallel and line c is a transversal. Prove: ∠2 is supplementary to ∠8

What is the missing reason in the proof?

Statement Reason
1. a || b, is a transv 1. given
2. ∠6 ≅ ∠2 2. ?
3. m∠6 = m∠2 3. def. of congruent
4. ∠6 is supp. to ∠8 4. def. of linear pair
5. ∠2 is supp. to ∠8 5. congruent supplements theorem

A: vertical angles theorem

B: alternate interior angles theorem

C: corresponding angles theorem

D: alternate exterior angles theorem

Step-by-step explanation:

The angles in matching corners are called Corresponding Angles.

The Corresponding Angles Theorem: If a transversal cuts two parallel lines, their corresponding angles are congruent

Correct answer choice is C.

25/4

step-by-step explanation:

call segment cd's length x. because dc and ab are parallel, angle acd and cab, so triangles adc and abc are similar and we can set up the equation x / ac = ac / ab, or x / 5 = 5 / 4 and x = 25/4.

the cat is blue because the probability of extension towards the prefix of the diameter of the circle could only mathematically equal to the sum of the roots of the carrots from   your garden.

step-by-step explanation: