INSTANT10112345 INSTANT10112345
  • 24-03-2022
  • Mathematics
contestada

∠C and ∠D are complementary.

Let m∠C=(5x)° and m∠D=(7x−6)°.

What is the value of x?

Enter your answer in the box.

x =

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Аноним Аноним
  • 24-03-2022

Complementary angles have sum 90°

[tex]\\ \rm\Rrightarrow 5x+7x-6=90[/tex]

[tex]\\ \rm\Rrightarrow 12x-6=90[/tex]

[tex]\\ \rm\Rrightarrow 12x=96[/tex]

[tex]\\ \rm\Rrightarrow x=8[/tex]

Answer Link
semsee45
semsee45 semsee45
  • 24-03-2022

Answer:

x = 8

Step-by-step explanation:

Complementary angles are two angles with measures that sum to 90°

Given:

  • m∠C = (5x)°
  • m∠D = (7x − 6)°

⇒ m∠C + m∠D = 90°

⇒ 5x + 7x - 6 = 90

⇒ 12x - 6 = 90

⇒ 12x = 96

⇒ x = 8

Answer Link

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