Question

angle abc is a right angle. the measure of angle abd is 55°. the measure of angle dbc is x°. what is the value of x?

Explanation:

Step1: Recall angle - addition property

Since $\angle ABC$ is a right - angle, $\angle ABC = 90^{\circ}$, and $\angle ABC=\angle ABD+\angle DBC$.

Step2: Substitute the known values

We know that $\angle ABD = 55^{\circ}$ and $\angle ABC = 90^{\circ}$, so $90^{\circ}=55^{\circ}+x^{\circ}$.

Step3: Solve for $x$

Subtract $55^{\circ}$ from both sides of the equation: $x^{\circ}=90^{\circ}-55^{\circ}$.
$x = 35$

Answer:

$35$