Question

angle abc is a right angle. the measure of angle dbc is 60°. the measure of angle abd is x°. what is the value of x?

Explanation:

Step1: Recall angle - addition property

We know that $\angle ABC=\angle ABD+\angle DBC$.
Since $\angle ABC = 90^{\circ}$ and $\angle DBC=60^{\circ}$, we can write the equation $90^{\circ}=x^{\circ}+ 60^{\circ}$.

Step2: Solve for $x$

Subtract $60^{\circ}$ from both sides of the equation: $x^{\circ}=90^{\circ}-60^{\circ}$.
$x = 30$

Answer:

$30$