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Travka [436]
2 years ago
10

∠C and ∠D are complementary.

Mathematics
2 answers:
djverab [1.8K]2 years ago
7 0

Answer:

  • x = 7

Step-by-step explanation:

Complementary angles are angles that add up to 90°.

We have C and D as complementary.

Their sum is:

  • m∠C + m∠D = 90

Substitute values and solve for x:

  • 8x + 5x - 1 = 90
  • 13x = 90 + 1
  • 13x = 91
  • x = 91/13
  • x = 7
Harman [31]2 years ago
5 0

Answer:

x = 7

Step-by-step explanation:

<u>Complementary angles</u> are two angles that sum up to 90°. In this case, we are given that ∠C and ∠D are <u>complementary.</u> This means that the sum of ∠C and ∠D is equivalent to 90°.

⇒ ∠C + ∠D = 90°

⇒ 8x + 5x - 1 = 90°                                                          [∠C = 8x; ∠D = 5x - 1]

⇒ 13x - 1 = 90°

⇒ 13x = 90 + 1

⇒ 13x = 91

⇒ 13x/13 = 91/13

⇒ x = 91/13 = 7

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