Asked by Liam
                I need homework help
The measure of one angle is 38 degrees less than the measure of its supplement. Find the measure of each Angle.
            
        The measure of one angle is 38 degrees less than the measure of its supplement. Find the measure of each Angle.
Answers
                    Answered by
            oobleck
            
    x + x-38 = 180
    
                    Answered by
            Bosnian
            
    Supplementary angles are two angles whose measures add up to 180° 
x + y = 180°
The measure of one angle is 38° less than the measure of its supplement means:
x = y - 38°
Replace x with y - 38° in equation x + y = 180°
y - 38° + y = 180°
2 y - 38° = 180°
Add 38° to both sides
2 y = 218°
y = 218° / 2 = 109°
x = 109° - 38° = 71°
The angles are 71° and 109°
    
x + y = 180°
The measure of one angle is 38° less than the measure of its supplement means:
x = y - 38°
Replace x with y - 38° in equation x + y = 180°
y - 38° + y = 180°
2 y - 38° = 180°
Add 38° to both sides
2 y = 218°
y = 218° / 2 = 109°
x = 109° - 38° = 71°
The angles are 71° and 109°
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