Answer:
D.
Step-by-step explanation:
m<F = m<B - Corresponding Angles Theorem
m<B + m<A = 180 - Adjacent Angles Theorem
180 - 105 = m<A
75 = m<A; therefore, m<A = 75.
6+4• (5-7)^2
(5-7)^2
-2^2
4
6+4+4
=14
A numerical expression contains numbers and operations. An algebraic expression is almost exactly the same except it also contains variables.
What you're looking at in this image are two alternate exterior angles.
Alternate exterior angles, are, essentially, exterior angles of a transversal that runs through two parallel lines. These angles are on alternating sides. These angles, assuming the lines are parallel, must be equal.
There's a proof behind why these angles are equal, but I won't bore you with the specifics as the question doesn't require it.
So - we know that these two angles must be equal to prove that the lines A and B are parallel. Knowing this, we can write an equation:
5x + 20 = 3x + 60
<u>Subtract 20 from both sides:</u>
5x + 20 - 20 = 3x + 60 - 20
5x = 3x + 40
<u>Subtract 3x from both sides:</u>
5x - 3x = 3x - 3x + 40
2x = 40
x = 20
If you have any questions on how I got to the answer, just ask!
- breezyツ
