PLEASE HELP ME GUYS!! Write and solve equations based on the angle relationships in the diagram below to find the measure of ∠EKC and ∠CKA

x = 65°

y = 25° (equations in explanation)

Step-by-step explanation:

We know that EKD is 25° and we know that DKB is 90°.

EKD, DKB, and BKF are supplementary. This means that their angle measures add up to 180°.

So, since we know two, we can find the other very easily.

This means that BKF is 65°.

Now, BKF and EKC are alternate interior angles, so they have the exact same measurement. Therefore, EKC, x, is 65°.

Again, EKC, CKA, and AKF are supplementary. AKF is 90° and EKC is 65°, so we can find the measure of CKA easily.

Therefore y is 25° and x is 65°.

Hope this helped!

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

it alot will look like this 4.4

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.