+394 Two angles are supplementary. One is 52° more than three times the other. Find the measures of the angles. Supplementary angles are angles whose sum is 180°.
What is the measure of the smaller angle?
What is the measure of the larger angle?
+9481 Let's call one of the angles " a " and the other angle " b " .
Let a = 52° + 3b
and since the angles are supplementary,
a + b = 180° In this equation, substitute 52° + 3b in for a .
52° + 3b + b = 180° Subtract 52° from both sides of the equation.
3b + b = 180° - 52° Combine like terms.
4b = 128° Divide both sides by 4 .
b = 32°
And since a + b = 180° , a = 180° - b = 180° - 32° = 148°
a = 148°
+9481 Let's call one of the angles " a " and the other angle " b " .
Let a = 52° + 3b
and since the angles are supplementary,
a + b = 180° In this equation, substitute 52° + 3b in for a .
52° + 3b + b = 180° Subtract 52° from both sides of the equation.
3b + b = 180° - 52° Combine like terms.
4b = 128° Divide both sides by 4 .
b = 32°
And since a + b = 180° , a = 180° - b = 180° - 32° = 148°
a = 148°
