Question

angle abc is a right angle. the measure of angle abd is 40°. the measure of angle dbc is x°. what is the value of x? x =

Explanation:

Step1: Identify angle sum

Since \( \angle ABC \) is a right angle, \( \angle ABC = 90^\circ \). Also, \( \angle ABC=\angle ABD + \angle DBC \).

Step2: Substitute known values

We know \( \angle ABD = 40^\circ \) and \( \angle DBC = x^\circ \). So, \( 90^\circ=40^\circ + x^\circ \).

Step3: Solve for \( x \)

Subtract \( 40^\circ \) from both sides: \( x = 90 - 40 = 50 \).

Answer:

\( 50 \)