Question

the measure of angle dbc is 30°. the measure of angle abd is 55°. the measure of angle abc is x°. find the value of x.

Explanation:

Step1: Identify angle - addition relationship

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

Step2: Substitute given angle measures

Given $\angle ABD = 55^{\circ}$ and $\angle DBC=30^{\circ}$, so $x = 55 + 30$.

Step3: Calculate the value of $x$

$x=85$.

Answer:

$85$