Line segment AB is perpendicular to CD. Ray BD bisects ∠ABC. What is m∠DBC?
A. 22.5
B. 45*******
C. 67.5
D. 90
B is correct, if CD intersects AB at B.
samiyoni its not our fault that we have to work :/
The answer is B: 45
hi im maddy im a nice kid and i say oobleck and reiny yall work looks fantastic but samiyoni you dont have to be so mean and its good to learn and have fun but the thing that always go first is learning then maby you can fun am i right
Learning is mandatory for students who are homeschooling!
Georgia Department of Education
To find the measure of angle DBC, we need to use the fact that line segment AB is perpendicular to CD and line BD bisects angle ABC.
First, let's draw a diagram to visualize the problem. Draw a line segment AB perpendicular to a line segment CD. Then, draw a ray BD that bisects angle ABC.
Looking at the diagram, we can see that angle DBC is formed by the intersection of line DB and line BC.
Since line BD bisects angle ABC, angle DBC is congruent to angle DBC.
Now, we can use the fact that angle ABC is a right angle (perpendicular lines form right angles) to find the measure of angle DBC.
In a right triangle, the sum of the two acute angles is equal to 90 degrees.
Therefore, angle ABC is a right angle, which means that angle DBC is half the measure of a right angle, or 45 degrees.
So, the answer is B. 45 degrees.