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Question
question 1 not yet answered marked out of 2.00 flag question in which diagram(s) is ab parallel to cd? 1. 2. select one: a. choice 1 only b. neither choice 1 nor choice 2 c. choice 2 only d. choice 1 and choice 2
Step1: Recall parallel - line angle criteria
If two lines are parallel, corresponding angles are equal, alternate - interior angles are equal, and same - side interior angles are supplementary.
Step2: Analyze Choice 1
In Choice 1, $\angle EGB = 69^{\circ}$ and $\angle EHD=68^{\circ}$. Since corresponding angles $\angle EGB$ and $\angle EHD$ are not equal, $AB$ is not parallel to $CD$.
Step3: Analyze Choice 2
In Choice 2, $\angle EGB = 98^{\circ}$ and $\angle EHD = 98^{\circ}$. Since corresponding angles $\angle EGB$ and $\angle EHD$ are equal, by the corresponding - angles postulate, $AB\parallel CD$.
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c. Choice 2 only