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An angle measures 12° less than the measure of its complementary angle. What is the measure of each angle?

User Brian Lee
by
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2 Answers

10 votes

Let ∠1 be x

Let ∠2 be x-12

ATQ,


\rm(x - 12 )+ x = 90 \degree


\rm2x - 12 = 90 \degree


\rm2x = 90 + 12


\rm2x = 102


\boxed{ \bf \: x = 51 \degree}

So,


\sf \: ∠1 = x \\ \sf \: = 51 \degree


\sf \: ∠2 = x - 12 \\ \sf = \: 51 - 12 \\ \sf∠2 = 39 \degree

User Yusijs
by
7.8k points
10 votes

Answer:

one angle: 51° and other angle: 39°

We can simply find:

  • complementary angle is when two angles add up to 90°
  • let one angle be x
  • then the another angle will be [ x - 12° ]

Solve:

x - 12 + x = 90

2x = 90 + 12

x = 51°

one angle 51°

other angle: x - 12 → 51° - 12 → 39°

User Midnight
by
7.9k points

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