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nata0808 [166]
2 years ago
9

Solve for x then find the measure of angle A

Mathematics
2 answers:
IceJOKER [234]2 years ago
5 0

Solution:

<u>Note that:</u>

  • ∠A = 5x + 20
  • ∠B = 9x - 92
  • ∠A + ∠B = 180°

<u>Use the equation "∠A + ∠B = 180°" to solve for x and ∠A.</u>

  • ∠A + ∠B = 180°
  • => 5x + 20 + 9x - 92 = 180
  • => 14x - 72 = 180
  • => 14x = 252
  • => x = 252/14
  • => x = 18

<u>Now, find ∠A.</u>

  • ∠A = 5x + 20
  • => ∠A = 5(18) + 20
  • => ∠A = 90 + 20
  • => ∠A = 110°

Hoped this helped!

KonstantinChe [14]2 years ago
4 0

Answer:

x = 18°, ∠A = 110°

Explanation:

As the lines are parallel, their sums of total interior angle is 180°

∠A + ∠B = 180°

5x +20° +9x-92° = 180°

14x -72° = 180°

14x = 180° + 72°

14x = 252°

x = 18°

Solve for angle A:

∠A = 5x +20°

∠A = 5(18) +20

∠A = 110°

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Step-by-step explanation:

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In circle O, AC and BD are diameters.

Circle O is shown. Line segments B D and A C are diameters. A radius is drawn to cut angle D O C into 2 equal angle measures of x. Angles A O D and B O C also have angle measure x.

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