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tresset_1 [31]
2 years ago
14

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

Mathematics
2 answers:
olganol [36]2 years ago
7 0

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°

ale4655 [162]2 years ago
5 0

Let ∠1 be x

Let ∠2 be x-12

<h3>ATQ,</h3>

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

\rm2x - 12 = 90 \degree

\rm2x = 90 + 12

\rm2x = 102

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

<h3>So,</h3>

\sf \: ∠1 = x \\  \sf \:  = 51 \degree

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

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