In diamond ABCD, the CBD angle is 52 degrees. Find the corner BAD.
| March 8, 2021 | education
The angle CBD is half of the angle CBA, since the diagonal BD of the rhombus is also a bisector. Angle CBA = 52 ° * 2 = 104 °. For a rhombus, the opposite angles are equal. therefore, the angle СDA is equal to the angle СВА and equal to 104 °. The angles of the rhombus add up to 360 °. From here we find the second pair of angles. 360 ° – (104 ° + 104 °) = 152 °. The desired angle BAD = 152 °: 2 = 76 °.
Answer: angle BAD = 76 °.
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