Use the exterior angles theorem to find the measure of each angle in degrees

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°

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w