# if two angles are supplementary, find the measure of the... if two angles are supplementary, find the measure of the smaller angle if the measure of the two angles are in ratio of 1:8, 3:5 Supplementary angles are two angles whose sum is equal to 180, therefore:

if the ratio of the two angles is 1:8, then

180 = 1x + 8x
(1x, or x is the value of the measure of the smaller angle and 8x is the value of the measure of the larger angle)
180 = 9x
180/9 = 9x/9
20 = x

if the ratio of the two angles is 3:5, then

180 = 3x + 5x
(3x is the value of the measure of the smaller angle and 5x is the value of the measure of the larger angle)
180 = 8x
180/8 = 8x/8
22.5 = x

3x = 3*22.5
3x = 67.5
You might be interested in Technology and Home Economics, 07.12.2023 Technology and Home Economics, 07.12.2023 Technology and Home Economics, 07.12.2023 Technology and Home Economics, 06.12.2023 Technology and Home Economics, 05.12.2023 Technology and Home Economics, 04.12.2023 Technology and Home Economics, 02.12.2023 Technology and Home Economics, 01.12.2023 Technology and Home Economics, 30.11.2023 Technology and Home Economics, 29.11.2023 Technology and Home Economics, 24.11.2023 Technology and Home Economics, 24.11.2023 Technology and Home Economics, 23.11.2023 Technology and Home Economics, 21.11.2023 Technology and Home Economics, 20.11.2023 Technology and Home Economics, 18.11.2023 Technology and Home Economics, 17.11.2023 Technology and Home Economics, 16.11.2023 Technology and Home Economics, 16.11.2023 Technology and Home Economics, 15.11.2023