In the triangle below, suppose that m < K = (5x - 3) degrees, m < L = (6x - 9) degrees, and m < M = x degree. Find the degree measure of each angle in the triangle.

m < K =
m < L =
m < M =

x = 16

angle K = 77

angle L = 87

angle M = 16

Step-by-step explanation:

Mathematically, the sum of interior angles of a triangle is 180 degrees

Thus:

(5x-3) + (6x-9) + x =180

12x -12 = 180

12x = 180+12

12x = 192

x = 192/12

x = 16

Angle K = 5x-3 = 5(16)-3 = 80-3 = 77

Angle L = 6(16)-9 = 96-9 = 87

Lastly;

angle M = 16 degrees

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: