If 150° and 3a are supplementary angles, find the value of a. ​

a = 10

Step-by-step explanation:

Supplementary angles sum to 180° , so

150 + 3a = 180 ( subtract 150 from both sides )

3a = 30 ( divide both sides by 3 )

a = 10

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: