Question

the measure of angle abc is 120°. the measure of angle dbc is 75°. the measure of angle abd is x°. find the value of x.

Explanation:

Step1: Identify angle - relationship

We know that $\angle ABC=\angle ABD+\angle DBC$.

Step2: Rearrange the formula to solve for $\angle ABD$

$\angle ABD=\angle ABC - \angle DBC$.

Step3: Substitute the given values

Given $\angle ABC = 120^{\circ}$ and $\angle DBC=75^{\circ}$, then $x=\angle ABD = 120 - 75$.

Step4: Calculate the result

$x = 45$.

Answer:

$45$