Question

5. Using ΔJKL, what is the measure of angle K?

Answer 1

Answer: 76

Explanation:

If you add all the angles they add up to 180

x+ (2x - 6) + (x + 22) = 180

x+ 2x - 6 + x + 22 = 180 >Combine like terms

4x + 16 = 180

4x = 164

x = 41

<K = 2x -6

<K = 2(41) - 6

<K = 76

Answer 2

`K=76`

Explanation:

Starting with a few basic things we know, we know that all of a triangles angles add up to 180.

Therefore, we can set up and solve this equation for
`x`.

`(2x-6)+(x+22)+x=180`

`4x+16=180`

`4x=164`

`x=41`

By plugging
`x` back into all of the angles, we can verify that they all do indeed add up to 180.

`(2*41-6)+(41+22)+41=180`

`(82-6)+(41+22)+41=180`

`76+63+41=180`

`180=180`

Knowing that
`x=41`, we can use this information to find K.

`K=(2x-6)`

`K=(2*41-6)`

`K=(82-6)`

`K=76`