Angle AOB + angle BOC = angle AOC
7x + 30 + 9x + 42 = 104
16x = 104 - 72
16x = 32
x = 2 degrees
Angle BOC = 9x + 42 = 18 + 42 = 60 degrees
Answer:
Step-by-step explanation:2+2=4
Answer:
(
) || (
)
Step-by-step explanation:
When two lines are parallel, all four angles formed by the intersection of the two lines are right angles, meaning their angle measures are (90°). This means that alternate interior angles are congruent because all alternate interior angles measures equal (90°). Therefore, by the alternate interior angles converse theorem, lines (
) and (
) are parallel.
The alternate interior angles converse theorem states if two angles are congruent and they have the relation of being a part of two lines intersected by a third line, then the two non-intersecting lines are parallel.