Question

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

Explanation:

Step1: Recall straight angle property

A straight angle (like \( \angle ABC \)) measures \( 180^\circ \). So, \( \angle ABD + \angle DBC = 180^\circ \).

Step2: Substitute known angle

We know \( \angle DBC = 55^\circ \) and \( \angle ABD = x^\circ \). Substitute into the equation: \( x + 55 = 180 \).

Step3: Solve for \( x \)

Subtract 55 from both sides: \( x = 180 - 55 = 125 \).

Answer:

\( x = 125 \)