Question

In △ jkl,overline jl is extended through point l to point m, mangle ljk=3x 13 ° , mangle klm=8x-13 ° ， and mangle jkl=2x-8 ° . find mangle klm.

Answer 1

The problem has to do with the concept of supplementary angles in triangle geometry. The measure of the various angles is given in terms of a variable 'x'. By following the method outlined above, you can find the value of mangle KLM by first getting the value of 'x' and then substituting it in the equation for KLM.

Step-by-step explanation:

The given question pertains to angle calculations in a triangle and can be solved using the concept of supplementary angles. The mangle or measure of the angle is given in terms of variable 'x' for various angles in triangle JKL and line LM. We know from the properties of a triangle that the sum of all internal angles equals 180 degrees, and the sum of a linear pair of angles (where a line crosses a line making two angles) is also 180 degrees.

Steps to Solve:

1. Use the equation of the line to find the value of x. mangle LJK + mangle JKL = 180 degrees, which translates to 3x + 13 + 2x - 8 = 180, solve this to find the value of x.
2. Substitute the obtained value of x into the equation for mangle KLM to find its value.

Learn more about Triangle Angles