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Use the given information to find m

Use The Given Information To Find M class=

Sagot :

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Answer:

m∠A = 62°

explanation:

as angle ∠D and ∠C lies on a straight line, they will sum up to 180°

given ∠D: 124°

  • solve for ∠C: 180° - 124° = 56°

now, the total sum of interior angles in a triangle is 180°

  • ∠A + ∠B + ∠C = 180°
  • 2x + x + 31° + 56° = 180°
  • 3x + 87° = 180°
  • 3x = 180° - 87°
  • 3x = 93°
  • x = 31°

solve for m∠A:

  • 2x
  • 2(31)
  • 62°

Solution:

Step-1: Find ∠C.

  • 180 - 124 = ∠C
  • 56° = ∠C

Step-2: Find x.

  • 56 + 2x + x + 31 = 180
  • => 56 + 3x + 31 = 180
  • => 87 + 3x = 180
  • => 3x = 93
  • => x = 31

Step-3: Find ∠A.

  • 2(x) = ∠A
  • => 62° = ∠A
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