Answer:
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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
According to property of isosceles triangle, we know that:
- m∠ADB = (180 - 44)/2 = 68
and
Substitute these into equation 2:
Substitute this into equation 1 and find the value of x:
- x + 68 + x = 136
- 2x = 68
- x = 34