Question

question 4 not yet answered marked out of 2.00 flag question which statement about the angles in this diagram is false? select one: a. <a = <b b. <e = <f c. <d = <c d. <f = <a

Explanation:

Step1: Recall angle - pair relationships

When two parallel lines are cut by a transversal, vertical angles are equal, corresponding angles are equal, alternate - interior angles are equal, and alternate - exterior angles are equal.

Step2: Analyze option a

$\angle a$ and $\angle b$ are corresponding angles. Since the lines are parallel, $\angle a=\angle b$.

Step3: Analyze option b

$\angle e$ and $\angle f$ are vertical angles. Vertical angles are always equal, so $\angle e = \angle f$.

Step4: Analyze option c

$\angle d$ and $\angle c$ are alternate - exterior angles. Since the lines are parallel, $\angle d=\angle c$.

Step5: Analyze option d

$\angle f$ and $\angle a$ are neither vertical, corresponding, alternate - interior, nor alternate - exterior angles. They are not equal.

Answer:

D. $\angle f=\angle a$