Question

If MZABD = 2y and mZDBC = 6y - 12, then find mZDBC.

a. 2y
b. 4y - 6
c. 6y - 12
d. 8y - 18

Answer 1

To find mZDBC, equate the given angles MZABD and mZDBC. Subtract the angle measure MZABD from both sides and solve for y. Substitute the value of y into the equation for mZDBC.

Step-by-step explanation:

To find mZDBC, we need to equate the given angles:

MZABD = mZDBC

2y = 6y - 12

To solve for y, we can subtract 2y from both sides:

0 = 4y - 12

Next, we can add 12 to both sides:

12 = 4y

Finally, we divide both sides by 4 to solve for y:

y = 3

Therefore, mZDBC = 6y - 12 = 6(3) - 12 = 18 - 12 = 6