Question

Find m angle K Please help im so un-smart and I dont understand this can someone brefily explain

Answer 1

B. 63

Explanation:

Let's first find angle M.

Angle M has 118 by it. The line below it is also a straight line. The angle of a straight line is 180. This means that 180-118 equal angle M.

Angle M = 180-118 = 62

Now the angles of a triangle also equal 180 and since 1 angle is 62, these other two angles must equal 118.

`(6x - 9) + (4x + 7) = 118`

Lets combine like terms. We combine the numbers. -9+7 equals -2. 6x + 4x = 10x. Putting those answers together

`10x - 2 = 118`

If we add 2 to both sides, that gets rid of the 2 on the left side

`10x = 120`

Lastly, we divide by 10

`x = 12`

Now that we have X, we can plug it into angle L's equation!

`(6x - 9) = (6(12) - 9) = ((72) - 9) = 63`

To show it's correct, plugging it into the other equation makes it 55.

55 + 63 + 62 = 180