Question

question 10 of 10
∠rdy and ∠nda are:
check all that apply.
a. a linear pair.
b. vertical angles.
c. supplementary.
d. complementary.

Explanation:

Step1: Recall angle - pair definitions

A linear pair of angles are adjacent angles whose non - common sides are opposite rays and their sum is 180°. Vertical angles are non - adjacent angles formed by two intersecting lines. Complementary angles are two angles whose sum is 90°, and supplementary angles are two angles whose sum is 180°.

Step2: Analyze ∠RDY and ∠NDA

∠RDY and ∠NDA are non - adjacent angles formed by the intersection of two lines RN and YA at point D.

Step3: Check angle - pair properties

Since ∠RDY and ∠NDA are non - adjacent angles formed by two intersecting lines, they are vertical angles. Also, since the lines RN and YA are perpendicular (as indicated by the right - angle symbol), ∠RDY=90° and ∠NDA = 90°, and their sum is 180°, so they are supplementary.

Answer:

B. vertical angles, C. supplementary