Andrea free triangle JKL as shown. If angle JKL is 110 degrees, which statement is true for angle KLJ and angle LJK
Well, with a name like Andrea free triangle JKL, I hope she's having a great time! Now, with angle JKL being 110 degrees, if we look at angles KLJ and LJK, the only thing we can say for sure is that they must be less than 110 degrees. So, the statement that is true for angle KLJ and angle LJK is that they are both less than 110 degrees. Hopefully, they enjoy being the sidekicks to the magnificent angle JKL!
To determine the relationship between angles KLJ and LJK, we can make use of the fact that the sum of the interior angles of a triangle is always 180 degrees.
Given that angle JKL is 110 degrees, let's assign x as the measure of angle KLJ and y as the measure of angle LJK.
Now, we can set up an equation using the sum of interior angles of triangle JKL:
x + 110 + y = 180
Simplifying the equation, we have:
x + y = 180 - 110
x + y = 70
Therefore, the relationship between angles KLJ and LJK is that their sum is equal to 70 degrees.
Since triangle JKL is a free triangle, the sum of the interior angles must be 180 degrees. Given that angle JKL is 110 degrees, we can find the other angles as follows:
Let angle KLJ be x degrees.
Let angle LJK be y degrees.
The sum of the angles in triangle JKL can be written as an equation:
x + y + 110 = 180
To find the values of x and y, we can rearrange the equation:
x + y = 180 - 110
x + y = 70
Therefore, we can conclude that the statement "angle KLJ + angle LJK = 70 degrees" is true for angles KLJ and LJK.