Question

In a complete sentence, describe the relevant angle relationships in the following diagram. Find the measures of x

and y.
E
25°
C
to
po
K
B
.

Answer 1

The relevant angle relationships in the given diagram involve finding the measures of angles x and y. Since the sum of the angles in a triangle is 180°, we can set up an equation to solve for x and y. By subtracting 25° from 180° and dividing the result by 2, we find that both x and y have a measure of 77.5°.

Step-by-step explanation:

In the given diagram, let's identify the relevant angle relationships. We have a triangle ECK with one angle labeled as 25°. We need to find the measures of angles x and y.

Since the sum of the angles in a triangle is always 180°, we can set up an equation:

x + 25° + y = 180°

From the equation, we can solve for x and y by subtracting 25° from 180° and then dividing the result by 2:

x = (180° - 25°)/2 = 155°/2 = 77.5°

y = (180° - 25°)/2 = 155°/2 = 77.5°

Answer 2

The relevant angle relationships in the given diagram involve finding the measures of angles x and y. Since the sum of the angles in a triangle is 180°, we can set up an equation to solve for x and y. By subtracting 25° from 180° and dividing the result by 2, we find that both x and y have a measure of 77.5°.

Step-by-step explanation:

In the given diagram, let's identify the relevant angle relationships. We have a triangle ECK with one angle labeled as 25°. We need to find the measures of angles x and y.

Since the sum of the angles in a triangle is always 180°, we can set up an equation:

x + 25° + y = 180°

From the equation, we can solve for x and y by subtracting 25° from 180° and then dividing the result by 2:

x = (180° - 25°)/2 = 155°/2 = 77.5°

y = (180° - 25°)/2 = 155°/2 = 77.5°