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If (a+10) and (a+20)are supplementary angles,find them​

User Asil
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1 Answer

4 votes

Given:

(a+10) and (a+20) are supplementary

To find:

Each angle

Steps:

if 2 angles are supplementary that means they add up to 180°

(a + 10) + (a + 20) = 180

a + 10 + a + 20 = 180

2a + 30 = 180

2a = 180 - 30

2a = 150

a = 150/2

a = 75°

Now let's find value of each angle,

a + 10 = 75 + 10

= 85°

a + 20 = 75 + 20

= 95°

Therefore, the value of each angle is 85° and 95° respectively

Happy to help :)

If you need any help feel free to ask

User Kevin ORourke
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4.1k points