We know that co terminal angles are those angles which have a difference equal to a multiple of 360 degrees. For example co terminal angle of 45 degrees is 76 degrees because their difference is equal to 720 degrees, which is a multiple of 360.

We have been given an angle 425 degrees.

From the given choices, we need to check if angles being added or subtracted to 425 degrees are multiples of 360 or not.

Let us check each of the options one by one.

(A) The angle being subtracted is $1000n$ . Therefore, we have $\frac{1000n}{360}=2.77n$ , which is not an integer for all values of n. Therefore, angle given in this option is not a co terminate angle to 425 degrees.

(B)

The angle being subtracted is $840n$ . Therefore, we have $\frac{840n}{360}=2.33n$ , which is not an integer for all values of n. Therefore, angle given in this option is not a co terminate angle to 425 degrees.

(C)

The angle being added is $960n$ . Therefore, we have $\frac{960n}{360}=2.67n$ , which is not an integer for all values of n. Therefore, angle given in this option is not a co terminate angle to 425 degrees.

(D)

The angle being added is $1440n$ . Therefore, we have $\frac{1440n}{360}=4n$ , which is an integer for all values of n. Therefore, angle given in this option is indeed a co terminate angle to 425 degrees.

Hence, correct answer is option (D).

3 0

3 years ago

Read 2 more answers

If triangle ABC is isosceles and triangle DBE is equilateral what is the measure of angle C

luda_lava [24]

Answer:

43°

Step-by-step explanation:

For triangle ABC:

A = C so all we need to do is to calculate the value of B

The measure of angle ABD is given as 17° so the measure of angle EBC must be 17° as well

Since DBE is an equilateral triangle angle is DBE = 60°

17 + 17 + 60 = 94 this is the measure of angle B

The sum of interior angles in a triangle is equal to 180

A + B + C = 180

A + C + 94 = 180

A + C = 86 since A = C we divide 86 by 2

C = 43°

6 0

3 years ago

What is the median 12,10,14,6,7

Nimfa-mama [501]

For this case we have that by definition, the median is the number of half in a set of numbers. To find it, the numbers are placed in order and the middle number is found.

If we order the given data we have:

6,7,10,12,14

The middle number is 10. So the median is 10.

Answer:

4 0

3 years ago