1000057740 1000057740
  • 23-09-2022
  • Mathematics
contestada

∠A and \angle B∠B are complementary angles. If m∠A=(3x-8)∘ and m∠B=(x+26)∘ then find the measure of ∠A

Respuesta :

19670849
19670849 19670849
  • 23-09-2022

Answer:

m∠B = 26°

Step-by-step explanation:

∠A and ∠B being complementary means  m∠A + m∠B = 90°

4x + 24 + 3x - 4 = 90

7x + 20 = 90

 7x = 70

  x = 10

m∠B = (3•10 - 4)° = 26°

Answer Link
Hrishii
Hrishii Hrishii
  • 23-09-2022

Answer:

m∠A = 46°

Step-by-step explanation:

  • ∠A and ∠B are complementary angles (Given)

  • -> m∠A + m∠B = 90°

  • -> (3x - 8)° + (x + 26)° = 90°

  • -> (3x - 8 + x + 26)° = 90°

  • -> (4x + 18)° = 90°

  • -> 4x + 18 = 90

  • -> 4x = 90 - 18

  • -> 4x = 72

  • -> x = 72/4

  • -> x = 18

  • (3x - 8)° = (3*18 - 8)° = (54 - 8)° = 46°

  • -> m∠A = 46°
Answer Link

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