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Find x if both of these angles are isosceles please

Find x if both of these angles are isosceles please-example-1
User Hsoi
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1 Answer

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Answer:

  • x = 34

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Use triangle sum theorem:

  • Sum of interior angles is 180°.

Equation 1:

  • m∠A + m∠D + m∠C = 180
  • 44 + m∠D + x = 180
  • x + m∠D = 136

Equation 2, find m∠D

  • m∠D = m∠ADB + m∠BDC

According to property of isosceles triangle, we know that:

  • m∠ADB = (180 - 44)/2 = 68

and

  • mBDC = x

Substitute these into equation 2:

  • m∠D = 68 + x

Substitute this into equation 1 and find the value of x:

  • x + 68 + x = 136
  • 2x = 68
  • x = 34
User Pestophagous
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