In trapezoid ABCD, AB = CD, Angle BDA = 54, Angle BDC = 33. Find the angle ABD.
| August 30, 2021 | education
Determine the value of the angle ADC.
Angle ADC = BDA + BDC = 54 + 33 = 87.
Since, by condition, AB = CD, the trapezoid ABCD is isosceles, then the angle BAD = ACD = 87.
In triangle ABD we define the value of angle ABD. The sum of the inner angles of the triangle is 180, then the angle ABC = (180 – BAD – BDA) = (180 – 87 – 54) = 39.
Answer: The angle ABD is 39.
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