Question 6 of 10 angle RDY and angle NDA DA are: Check all that apply. A. supplementary B. a linear pair. C. vertical angles. D. complementary

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Question 6 of 10 angle RDY and angle NDA DA are: Check all that apply. A. supplementary B. a linear pair. C. vertical angles. D. complementary

Answer 1

Given the picture details and the question, we can analyze the relationships between the angles formed by the intersection of line segments NY and RA at point D.Step 1: Identify the angles.We have four angles at the intersection point D:- \(\angle NDY\) (which is a right angle, meaning it is 90 degrees)- \(\angle RDY\)- \(\angle NDA\)- \(\angle RDA\)Step 2: Analyze the relationships between the angles.- \(\angle NDY\) and \(\angle RDY\) are adjacent and form a straight line, so they are supplementary (their measures add up to 180 degrees).- \(\angle NDA\) and \(\angle RDA\) are also adjacent and form a straight line, so they are supplementary as well.- \(\angle RDY\) and \(\angle NDA\) do not form a linear pair, nor are they adjacent, so they are not supplementary.- Vertical angles are the angles opposite each other when two lines intersect. In this case, \(\angle NDY\) and \(\angle RDA\) are vertical angles, as well as \(\angle RDY\) and \(\angle NDA\).Step 3: Determine the specific relationships for \(\angle RDY\) and \(\angle NDA\).- \(\angle RDY\) and \(\angle NDA\) are vertical angles, so they are equal in measure.- Vertical angles are not supplementary unless they are both right angles (which would make them both 90 degrees, adding up to 180 degrees). However, we only know that \(\angle NDY\) is a right angle, not \(\angle RDY\) or \(\angle NDA\).- \(\angle RDY\) and \(\angle NDA\) are not a linear pair because they are not adjacent and do not form a straight line.- \(\angle RDY\) and \(\angle NDA\) are not complementary unless we know their measures add up to 90 degrees, which we do not have information about.Final Answer:\(\angle RDY\) and \(\angle NDA\) are:C. vertical angles.

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Question 6 of 10 angle RDY and angle NDA DA are: Check all that apply. A. supplementary B. a linear pair. C. vertical angles. D. complementary

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