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The measures of two supplementary angles have a ratio of 2:4. what is the measure of the smaller ang...
5 months ago
Q:
the measures of two supplementary angles have a ratio of 2:4. what is the measure of the smaller angle
Accepted Solution
A:
two supplementary angles have a ratio of 2:4 (or 1:2) reduced
supplementary angle = 180°
s = a angle (2), as 2s = (4) in the ratio
s + 2s = 180
3s = 180
isolate the s
3s/3 = 180/3
s = 180/3
s = 60
2s = 2(60) = 120
The measurement of the smaller angle is 60°, while the larger is 120°
hope this helps