# Two angles are supplementary. The measure of the smaller angle is four more than one third the measure of the larger angle. The measure of the larger angle is

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The measure of smaller and larger angles will be 48 degrees and 132 degrees, respectively.Given information:The two angles are supplementary. Let them be x (larger) and y (smaller).The measure of the smaller angle is four more than one-third the measure of the larger angle.The above condition can be written as,[tex]y=4+\dfrac{ x}{3}[/tex]Supplementary angles are the angles whose sum of measure is equal to 180 degrees.So, [tex]x+y=180[/tex]Solve the above two equations as,[tex]x+y=180\\x+(4+\dfrac{ x}{3})=180\\\dfrac{4x}{3}=176\\x=176\times \dfrac{3}{4}\\x=132\\y=48[/tex]Therefore, the measure of smaller and larger angles will be 48 degrees and 132 degrees, respectively.For more details, refer to the link:https://brainly.com/question/19281924

Answer:132Step-by-step explanation:2 Angles are supplementary:x + y = 180The smaller angle is four more than one third of other:y = 1/3x + 4Plug in y into the original equation:x + 1/3x + 4 = 180Solve the equation:4/3x = 176x = 176 * 3/4x = 132y = 48x is the larger angle so 132 is the answer