Question

dynamic module 7 practice (rm c3)
due friday by 3:25pm points 16 submitting an external tool available after jan 7 at 12am
question 1 dynamic module 7 practice (rm c3)
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angle abc is a straight angle.
the measure of angle abd is 105°.
the measure of angle dbc is x °.
what is the value of x?

Explanation:

Step1: Recall the property of a straight angle

A straight angle measures \(180^\circ\). So, \(\angle ABC = 180^\circ\).

Step2: Set up the equation for the sum of angles

We know that \(\angle ABD + \angle DBC=\angle ABC\). Given \(\angle ABD = 105^\circ\) and \(\angle DBC=x^\circ\), we substitute these values into the equation: \(105 + x=180\).

Step3: Solve for \(x\)

Subtract \(105\) from both sides of the equation: \(x = 180 - 105\).
Calculate the right - hand side: \(x = 75\).

Answer:

\(75\)