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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 = 103°, <x =103°, <y = 77° b. <w = 77°, <x =77°, <y = 103° c. <w = 103°, <x =77°, <y = 77° d. <w = 77°, <x =103°, <y = 103°
Step1: Identify vertical - angle relationship
Vertical angles are equal. Angle \(y\) and the \(103^{\circ}\) angle are vertical angles, so \(y = 103^{\circ}\).
Step2: Identify supplementary - angle relationship
Angle \(w\) and the \(103^{\circ}\) angle are supplementary (a straight - line is \(180^{\circ}\)), so \(w=180 - 103=77^{\circ}\).
Step3: Identify corresponding - angle relationship
Angle \(x\) and angle \(w\) are corresponding angles for the parallel lines, so \(x = w = 77^{\circ}\).
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