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: 3x = 112
try again

Explanation:

Step1: Analyze angle composition

From the figure, \( \angle ABD = \angle ABC + \angle CBD \), where \( \angle ABC = 3x^\circ \) and \( \angle CBD = 52^\circ \), and \( \angle ABD = 112^\circ \).

Step2: Form the equation

Substitute the angle measures into the angle - addition formula: \( 3x + 52=112 \)

Answer:

\( 3x + 52 = 112 \)