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

Question

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:-

(which is a right angle, meaning it is 90 degrees)-

-

Step 2: Analyze the relationships between the angles.-

and

are adjacent and form a straight line, so they are supplementary (their measures add up to 180 degrees).-

and

are also adjacent and form a straight line, so they are supplementary as well.-

and

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,

and

are vertical angles, as well as

and

.Step 3: Determine the specific relationships for

and

.-

and

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

is a right angle, not

or

.-

and

are not a linear pair because they are not adjacent and do not form a straight line.-

and

are not complementary unless we know their measures add up to 90 degrees, which we do not have information about.Final Answer:

and

are:C. vertical angles.