# Need major help with Algebra

#### Jay Harris

##### New member
Find the measures of an angle such that the sum of the measures of its complement and its supplement is 174.

(90-x)=complement (180-x)=supplement

(90-x)+(180-x)=174
Combine like terms:
90+180+-x+-x=174
270+2x=174
Get the variable on one side by itself:
270-270+2x=174-270
2x=96 then divide 2x=96
2x=2x

x=48. 90-48=42 180-48=134 42+134=174

This is what I came up with. Thank you for your help ahead of time.

#### Subhotosh Khan

##### Super Moderator
Staff member
Jay Harris said:
Find the measures of an angle such that the sum of the measures of its complement and its supplement is 174.

(90-x)=complement (180-x)=supplement

(90-x)+(180-x)=174
Combine like terms:
90+180+-x+-x=174
270-2x=174 Corrected the sign mistake
Get the variable on one side by itself:
270-270-2x=174-270
-2x=-96 then divide 2x=96
2x=2x

x=48. 90-48=42 180-48=134 42+134=174

This is what I came up with. Thank you for your help ahead of time.
You are correct - except for some typos that I fixed above.