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