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ab, eg, fa, and fb are shown such that ab || eg and fa and fb are trans…

Question

ab, eg, fa, and fb are shown such that ab || eg and fa and fb are transversals. given m∠ecf = 125°, complete the statement. m∠acd is blank because ∠ecf and ∠acd are blank. options: 55°, 70°, 125°, complementary angles, supplementary angles

Explanation:

Step1: Recall vertical - angle property

Vertical angles are congruent. $\angle ECF$ and $\angle ACD$ are vertical angles.

Step2: Determine the measure of $\angle ACD$

Since $\angle ECF = 125^{\circ}$ and $\angle ECF\cong\angle ACD$ (vertical - angle property), then $m\angle ACD = 125^{\circ}$.

Answer:

$125^{\circ}$, vertical angles