Answer:
see explanation
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠JKM is an exterior angle of the triangle
∠KLM and ∠KML are the 2 opposite interior angles, hence
23z = 18z + 3 + 32
23z = 18z + 35 ( subtract 18z from both sides )
5z = 35 ( divide both sides by 5 )
z = 7
Hence
∠KLM = 18z + 3 = (18 × 7) + 3 = 126 + 3 = 129°
JKL is a straight angle thus angles are supplementary
∠MKL = 180° - (23 × 7)° = 180° - 161° = 19°
∠KML = 32° ( given )
The 3 angles are 129°, 32° and 19°
