Question

question 9 (1 point)
the tip of a pendulum at rest sits at point b. during an experiment, a physics student sets the pendulum in motion. the tip of the pendulum swings back and forth along part of a circular path from point a to point c. during each swing the tip passes through point b. name all the angles in the diagram.

o a ∠aob,∠boc
o b ∠oab,∠obc,∠ocb
o c ∠aob,∠cob,∠aoc
o d ∠aob,∠boa,∠cob,∠boc

question 10 (1 point)
∠1 is a complement of ∠2 and m∠1 = 66°. find m∠2.
o a 114°
o b 66°
o c 132°
o d 24°

Explanation:

Question 9

An angle is formed by two rays with a common endpoint. In the diagram with center \(O\), angles are formed by the rays from \(O\) to the points on the circular - path of the pendulum's motion. \(\angle AOB\) is the angle between rays \(OA\) and \(OB\), \(\angle BOC\) is the angle between rays \(OB\) and \(OC\), and \(\angle AOC\) is the angle between rays \(OA\) and \(OC\).

If two angles are complementary, the sum of their measures is \(90^{\circ}\). Let \(m\angle1\) and \(m\angle2\) be the measures of the two complementary angles. We know that \(m\angle1 + m\angle2=90^{\circ}\), and given \(m\angle1 = 66^{\circ}\), we can find \(m\angle2\) by subtracting \(m\angle1\) from \(90^{\circ}\).

Answer:

C. \(\angle AOB,\angle COB,\angle AOC\)

Question 10