MATH SOLVE

2 months ago

Q:
# use the exterior angles theorem to find the measure of each angle in degrees

Accepted Solution

A:

Answer:see explanationStep-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, hence23z = 18z + 3 + 3223z = 18z + 35 ( subtract 18z from both sides )5z = 35 ( divide both sides by 5 )z = 7Hence∠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°