Question

question 5 not yet answered marked out of 2.00 flag question which pairs of angles are equal in this diagram? select one: a. a = b, c = d, and e = f b. a = e, b = d, and c = g c. a = e, c = g, and b = f d. a = c, e = g, and f = h

Explanation:

Step1: Recall vertical - angle property

Vertical angles are equal. In the given diagram, \(a\) and \(c\) are vertical angles, \(b\) and \(d\) are vertical angles, \(e\) and \(g\) are vertical angles, and \(f\) and \(h\) are vertical angles.

Step2: Analyze each option

Option a lists adjacent angles which are not necessarily equal. Option b and c do not correctly identify vertical - angle pairs. Option d correctly lists vertical - angle pairs (\(a = c\), \(e = g\), \(f = h\)).

Answer:

d. \(a = c\), \(e = g\), and \(f = h\)