Question 311163
Write an equation for each statement. 
a. Twice an angle is 30o more than its complement. 
b. Three times an angle is 12o less than its supplement. 
i don't understand how to write the equation at all.


a. Twice an angle is 30o more than its complement. 


Let the angle be A
Then its complement is 90 - A


Since twice the angle is {{{30^o}}} more than its complement, then we'll have:


2A = (90 - A) + 30


2A = 90 - A + 30


3A = 120


Then A, or the angle is: {{{120/3}}} = {{{highlight_green(40)}}} degrees, and its complement is 90 - 40, or {{{highlight_green(50)}}} degrees.

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b. Three times an angle is 12o less than its supplement. 

Let the angle be A
Then its supplement is 180 - A


Since three times the angle is {{{12^o}}} less than its supplement, then we'll have:


3A = (180 - A) - 12


3A = 180 - A - 12


4A = 168


Then A, or the angle is: {{{168/4}}} = {{{highlight_green(42)}}} degrees, and its supplement is 180 - 42, or {{{highlight_green(138)}}} degrees.