Question

Given that angle ABD = 76°, which equation could be used to solve problems involving the relationship between angle DBC and angle ABC?

a) DBC = ABC - ABD
b) ABC = DBC + ABD
c) DBC = 76 - ABC
d) ABC = 76 + DBC

Answer 1

We can use the equation ABC = ABD + DBC to find the relationship between angle DBC and angle ABC given that ABD is 76°, with a transformed equation DBC = ABC - 76° for solving problems.

Step-by-step explanation:

To solve problems involving the relationship between angle DBC and angle ABC given that angle ABD is 76°, we would use the equation ABC = ABD + DBC. This is because angle ABC is comprised of the smaller angles ABD and DBC, thus the measure of angle ABC is the sum of the measures of angles ABD and DBC.

If we're given the measure of angle ABD as 76° and we need to find the relationship between the unknown angle DBC and the known angle ABC, the equation transforms to DBC = ABC - 76°, since we subtract the given angle ABD from angle ABC to find angle DBC.