Final answer:
The measure of the supplement of angle R where mR= (8z + 10)° is 170° - 8z.
Step-by-step explanation:
To find the measure of the supplement of an angle R where mR= (8z + 10)°, we need to understand that the supplement of an angle is what, when added to the angle, makes a straight line or 180°. Therefore, the supplement of angle R (which we'll call S) can be found with the following equation:
mS = 180° - mR
Plugging in the given expression for mR, we get:
mS = 180° - (8z + 10)°
mS = 180° - 8z - 10°
mS = 170° - 8z
This expression gives us the measure of the supplement of R in terms of z.