Answer:
mKML+mMLK=mJKM
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. Types of triangles are scalene, acute, obtuse, equilateral, isosceles, and right triangle.
As shown in the diagram, polygon MLK is a triangle. The sum of angles in a triangle is equal to 180°, hence:
m∠MLK + m∠KML + m∠MKL = 180° (sum of angles in a triangle).
m∠MKL = 180 - (m∠MLK + m∠KML) (1)
Also along line JL, the sum of angles on one side of a straight line is 180°, therefore:
m∠JKM + m∠MKL = 180° (sum of angles in a straight line)
m∠JKM + m∠MKL = 180° (2)
From equations 1 and 2, equating give:
m∠JKM + [180 - (m∠MLK + m∠KML)) = 180
m∠JKM + 180 - m∠MLK - m∠KML = 180
m∠JKM = m∠MLK + m∠KML
