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How do I find the measure of these two supplementary angles using algebra?

How do I find the measure of these two supplementary angles using algebra?-example-1
User Sepehr
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1 Answer

5 votes

Answer:

70 and 110

Explanation:

The two angles add to 180 degrees since they form a straight line

2x+10 +3x+20 =180

5x+30 = 180

Subtract 30 from each side

5x+30-30 =180-30

5x = 150

Divide by 5

5x/5 =180/5

x = 30

The left angle is 2x+10 = 2*30+10 = 60+10 =70

The right angle is 3x+20 = 3*30 +20 = 90+20 = 110

User Soupi
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