Answer:
(A) 70°
(B) 67°, because they are alternate interior angles
Step-by-step explanation:
For a:
The angles of a triangle will all add up to 180°. Using the "feathers" (lines that signify congruence), we can tell that the angle connecting the two congruent lines will be different than the other two, which will be equivalent to each other.
This means that the angle measure of x will be [tex]180-55-55[/tex], or just [tex]180-110[/tex].
This is equal to 70°.
For b:
We know that the 67° angle and y are formed by the same line intersecting two parallel lines. This means that the angle measures of each intersection point will be the same as the other intersection point, however they will be flipped. This makes the concept of alternate interior angles. We know that the 67° angle and y are formed by the same line, this means that their angle lengths are the same - therefore y is 67°.
Hope this helped!
