Question

find the measure of the missing angles.
answer attempt 1 out of 2
d = □° e = □° f = □°

Explanation:

Step1: Find \(e\)

Since the sum of angles in a right - angle - like situation (assuming the vertical lines are perpendicular in a sense of adjacent angles summing up with the given \(69^{\circ}\) to a right - angle - related concept, but actually using the property of vertical angles and linear pairs. Here, \(e = 32^{\circ}\) (vertical angles are equal).

Step2: Find \(d\)

We know that \(69^{\circ}+e + d=180^{\circ}\) (a straight line). Substitute \(e = 32^{\circ}\) into the equation: \(69^{\circ}+32^{\circ}+d = 180^{\circ}\). Then \(d=180^{\circ}-(69^{\circ}+32^{\circ})=79^{\circ}\)

Step3: Find \(f\)

\(f\) and \(69^{\circ}\) are vertical angles. So \(f = 69^{\circ}\)

Answer:

\(d = 79^{\circ}\), \(e = 32^{\circ}\), \(f = 69^{\circ}\)