Question

angle abc is a right angle. the measure of angle abd is 50°. the measure of angle dbc is x°. what is the value of x? x =

Explanation:

Step1: Recall right angle property

A right angle is \( 90^\circ \), so \( \angle ABC = 90^\circ \).

Step2: Use angle addition postulate

\( \angle ABC=\angle ABD + \angle DBC \), so \( 90^\circ=50^\circ + x^\circ \).

Step3: Solve for \( x \)

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

Answer:

\( x = 40 \)