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"Find the measures of two supplementary angles if their measures are 3:7

Since the ratio is 3:7 we can assume that the angles are equal to 3x and 7x?"
3x+7x=180° (180° since a line is equal to that)
then solve
10x=180
x=18
then substitute x=18 in 3x and 7x
3x=54°. 4x=126°
126° and 54°

User Asaf Mesika
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1 Answer

24 votes
24 votes

Let the two angles be 3x and 7x.

Supplementary angles add up to 180 degrees.

Therefore:

3x + 7x = 180

10x = 180

x = 18

3x = 3 * 18 = 54

7x = 7 * 18 = 126

Answer:

The two angles are 54 degrees and 126 degrees.

User Gutierrezalex
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