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angle abc is a right angle. the measure of angle dbc is 55°. the measur…

Question

angle abc is a right 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 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 \( x + 55=90 \).

Step3: Solve for x

Subtract 55 from both sides: \( x = 90 - 55 \).
\( x = 35 \)

Answer:

35