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Angles R and S are supplementary angles. which is the measure of R?

Angles R and S are supplementary angles. which is the measure of R?-example-1
User Nfechner
by
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1 Answer

3 votes

Answer:

R = 15°

Explanation:

Since angles R and S are supplementary angles it means that the sum of their angles add up to 180°

To find R we must first find x

To find x , add angles R and S and equate them to 180

That's

R + S = 180

80 - x + 3x - 30 = 180

2x + 50 = 180

2x = 180 - 50

2x = 130

Divide both sides by 2

x = 65°

From the question

R = 80 - x

But x = 65°

Substitute the value of x into the expression

That's

R = 80 - 65

We have the final answer as

R = 15°

Hope this helps you

User Pmcs
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4.4k points