Which pairs of angles in the figure below are vertical angles

Option B and D are  pair of vertical angles.

Step-by-step explanation:

We are given a figure in which we have to find pair of  vertical angles.

Vertical angles :When two lines are intersecting then  each of the pairs of opposite side angles are called vertical angles.

We can see from given figure

is present on opposite side of  of intersecting lines .Therefore, they are opposite angles. The opposite angles are called vertical angles.Hence, it is a pair of vertical angles.

is present on opposite side of  of two intersecting lines .Therefore, they are opposite angles. The opposite angles are called vertical angles.Therefore, it is a pair of vertical angles.

Therefore, we have two pairs of vertical angles from given figrue.

Hence , and , and are two pairs of vertical angles.

Therefore, option B and D are correct.

But in option C and A the given angles are not present on opposite sides of two intersecting lines .Therefore, they are not vertical angles. Hence, option A and C are false.

$150

Step-by-step explanation:

Simple interest for any principal amount p , rate of interest r and time t is given by

Simple interest = (p*r*t)/100

Given

p =$500

r = 3%

t = 10 years

Therefore SI = $500*3*10/100 = $150.

$150 is earned in 10 years at 3% simple interest on $500.