Question

given m∠jkl = 4x and m∠mkl = x + 15. prove x = 35. statements: 1) m∠jkl = 4x and m∠mkl = x + 15; 2) m∠jkl + m∠mkl = 180; 3) 4x + x + 15 = 180; 4) 5x + 15 = 180; 5) ?; 6) x = 33. reasons: 1) given; 2) ?; 3) ?; 4) ?; 5) subtraction poe; 6) division poe. what is the reason for step 2? * definition of supplementary angle addition postulate definition of a line linear pair postulate

Explanation:

Since $\angle{JKL}$ and $\angle{MKL}$ form a linear - pair (a pair of adjacent angles whose non - common sides are opposite rays), by the Linear Pair Postulate, the sum of the measures of two angles in a linear pair is 180 degrees.

Answer:

Linear Pair Postulate