angle JkL is a right angle. what are m JKM (12x+3) and m MKL (6x-3)
Ya what is the answer
To find the measures of angles JKM and MKL, we will use the fact that angle JKL is a right angle.
Since angle JKL is a right angle, the sum of the measures of angles JKM and MKL will be 90 degrees.
We can set up the equation as follows:
(12x + 3) + (6x - 3) = 90
Simplifying this equation, we have:
12x + 3 + 6x - 3 = 90
Combining like terms, we get:
18x = 90
To solve for x, we divide both sides of the equation by 18:
18x/18 = 90/18
Simplifying further, we have:
x = 5
Now, we can substitute the value of x back into the measures of angles JKM and MKL:
m(JKM) = 12x + 3 = 12(5) + 3 = 60 + 3 = 63 degrees
m(MKL) = 6x - 3 = 6(5) - 3 = 30 - 3 = 27 degrees
Therefore, the measure of angle JKM is 63 degrees, and the measure of angle MKL is 27 degrees.
To find the measures of angles JKM and MKL, we can use the given fact that angle JKL is a right angle.
In a right triangle, the sum of the measures of the two acute angles is always 90 degrees.
So, we can set up the equation:
m(JKM) + m(MKL) = 90
Given that m(JKM) is 12x + 3 and m(MKL) is 6x - 3, we can substitute these values into the equation:
12x + 3 + 6x - 3 = 90
Combining like terms:
18x = 90
Now, we can solve for x by dividing both sides of the equation by 18:
18x/18 = 90/18
x = 5
Substituting the value of x back into the expressions for m(JKM) and m(MKL):
m(JKM) = 12x + 3 = 12(5) + 3 = 60 + 3 = 63 degrees
m(MKL) = 6x - 3 = 6(5) - 3 = 30 - 3 = 27 degrees
Therefore, m(JKM) is 63 degrees and m(MKL) is 27 degrees.