Question

in the figure below, m∠abd = 112°.
(a) write an equation to find x. make sure you use an \=\ sign in your answer.
equation:
figure shows angle at b with ∠abc = 3x°, ∠cbd = 52°, and rays ba, bc, bd

Explanation:

Step1: Analyze angle composition

Angle \( \angle ABD \) is composed of \( \angle ABC \) (which is \( 3x^\circ \)) and \( \angle CBD \) (which is \( 52^\circ \)). So the sum of these two angles should equal \( \angle ABD \).
\[ 3x + 52 = 112 \]

Answer:

\( 3x + 52 = 112 \)