In the trapezium ABCD, it is known that AB = CD, the angle BDA = 30 degrees and the angle BDC
| August 10, 2021 | education
In the trapezium ABCD, it is known that AB = CD, the angle BDA = 30 degrees and the angle BDC = 110 degrees. Find the ABD angle.
1. Let us determine the value of the angle CDA of the trapezoid ABCD, since the angles BDA and BDC are known.
110 + 30 = 140 °.
2. The angle BAD is equal to the angle CDA, as are the angles at the base of an isosceles trapezoid, that is, 140 °.
3. Let’s calculate how many degrees is the angle ABD.
180 – (140 + 30) = 10 °.
Answer: 10 °.
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