## The measures of two supplementary angles are in the ratio 4 : 11. What is the measure of the larger angle?

Question

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## Answers ( )

sun of supplementary angles is 180

therefore, in 4:11

11>4

so,4x+11x=18015x=180x=180/15x=12thereforeboththeanglesare4*12=48degree11*12=132degreetheansweroflargerangleis132degreeAnswer:If the ratio is 4:11 , 11/(4+11) = 11/15 of the whole is the larger angle

so 11/15 * 180 = 1980/15 = 132 degrees. The smaller angle must be 180-132 = 48 degrees. Notice 48:132 = 4:11