find m <K (4x +7)° (6x-9)°

To find the measure of angle K, denoted as mLet's consider the two most common situations:

1. If these expressions (4x + 7)° and (6x - 9)° are meant to be equal to each other because they represent the measure of the same angle obtained from different conditions, you would set them equal to find the value of 'x': 4x + 7 = 6x - 9

To solve for 'x', subtract '4x' from both sides and add '9' to both sides:

4x - 4x + 7 + 9 = 6x - 4x - 9 + 9

This simplifies to:

16 = 2x

Now, divide both sides by '2' to solve for 'x':

x = 8

Plug 'x' back into either expression to find m m So, the measure of angle K is 39 degrees.

2. If (4x + 7)° and (6x - 9)° are supplementary angles (meaning they add up to 180 degrees because they form a straight line), you would write the equation:

(4x + 7) + (6x - 9) = 180

Combine like terms:

4x + 6x + 7 - 9 = 180

This simplifies to:

10x - 2 = 180

Add '2' to both sides to solve for '10x':

10x = 182

Now, divide both sides by '10' to solve for 'x':

x = 18.2

To find the measure of angle K, you'll need to know which expression represents its measure. Let's assume it's the first expression:

m So, the measure of angle K is 79.8 degrees if (4x + 7)° and (6x - 9)° are supplementary.

Without further context or information about the relationship between the two expressions, it's not possible to determine which scenario applies or if there's another relationship at play. Thus, to provide a precise answer, more information is needed regarding the geometric relationship of the angle expressions.