Question

question 5 not yet answered marked out of 2.00 flag question which are the correct measures of the indicated angles? select one: a. <w = 77°, <x =103°, <y = 103° b. <w = 103°, <x =77°, <y = 77° c. <w = 77°, <x =77°, <y = 103° d. <w = 103°, <x =103°, <y = 77°

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. Angle \(y\) and the \(103^{\circ}\) angle are vertical angles, so \(y = 103^{\circ}\).

Step2: Use linear - pair property

Angle \(w\) and the \(103^{\circ}\) angle form a linear pair. Since the sum of angles in a linear pair is \(180^{\circ}\), \(w=180 - 103=77^{\circ}\).

Step3: Use corresponding - angle property

Angle \(x\) and angle \(w\) are corresponding angles. Corresponding angles formed by a transversal intersecting two parallel lines are equal. So \(x = 77^{\circ}\).

Answer:

c. \(\angle w = 77^{\circ},\angle x = 77^{\circ},\angle y = 103^{\circ}\)