Question

the measure of angle (abc) is (70^{circ}). the measure of angle (dbc) is (40^{circ}). the measure of angle (abd) is (x^{circ}). find the value of (x).

Explanation:

Step1: Identify angle - relationship

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

Step2: Substitute the given values

Given $\angle ABC = 70^{\circ}$ and $\angle DBC=40^{\circ}$, so $70^{\circ}=x^{\circ}+40^{\circ}$.

Step3: Solve for $x$

Subtract $40^{\circ}$ from both sides: $x = 70 - 40$.

Answer:

$30$