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3 years ago

∠R and ∠S are complementary. If m∠R = (2x+7) and m∠S = (4x - 13), find m∠R

Mathematics

2 answers:

BlackZzzverrR [31]3 years ago

4 0

Answer:

39°

Step-by-step explanation:

Complementary angles add up to 90

2x + 7 + 4x - 13 = 90

6x - 6 = 90

6x = 96

x = 16

Angle R = 2(16) + 7

32 + 7

39°

____ [38]3 years ago

3 0

Answer:

m∠R = 39 degrees

Step-by-step explanation:

As complementary angles add up to 90 degrees, we can set up an equation to get x then find the measure of ∠R:

m∠R + m∠S = 90

2x+7+4x-13=90

6x+7-13=90

6x-6=90

6x=96

x=16

Since m∠R = (2x+7), 2x+7 would be 2(16)+7 or 39 degrees. So in conclusion, m∠R = 39 degrees

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