What is the smaller angle of an isosceles trapezoid if the difference between its opposite angles is 44?
| May 31, 2021 | education
Let the value of the angle BAD = X0, then, by condition, the angle BAD = (X + 44) 0.
Since the sum of the angles at the side of the trapezoid is 180, the angle ABC = (180 – X) 0, and the angle CDA = (180 – X – 44) = (136 – X) 0.
Since the trapezoid is isosceles, the angle BAD = CDB, and the angle ABC = BCD.
X = (136 – X).
2 * X = 136.
X = 136/2 = 68.
Answer: The smallest angle of the trapezoid is 68.
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