Janet is trying to prove that the sum of the measures of the interior angles of a triangle is 180°.
which reason can she use to justify the statement in line 6?
a
alternate interior angles of parallel lines are congruent

b
corresponding angles of parallel lines are congruent

c
exterior angle theorem

d
symmetric property

Answer : The correct option is, (A) Alternate interior angles of parallel lines are congruent.

Step-by-step explanation :

Exterior angle theorem : It is defined as the angle formed when we extend the side of a triangle is equal to the sum of its non-adjacent angles.

In the given figure, ∠1 = ∠2 +∠C

Alternate interior angles : It states that when two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.

In the given figure, ∠1 ≅ ∠A and ∠3 ≅ ∠C

Hence, the correct option is, (A)

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2

a. she will receive a refund of $278.

step-by-step explanation: