Diagonal AC is drawn in rhombus ABCD. Find the ADC angle if ACB = 35 degrees.
| April 28, 2021 | education
The AC diagonal in the rhombus is also a bisector, bisecting the angle. This means that the angle ACB is equal to the angle ACD. Then the angle ВСD will be:
35 ° + 35 ° = 70 °.
In a rhombus, the opposite angles are equal. This means that the angle BAD = 70 °.
In a rhombus, the sum of all angles is 360 °.
From here we find the second pair of angles:
360 ° – (70 ° + 70 °) = 360 ° – 140 ° = 220 °
Angle ABC = angle ADC and angle ABC + angle ADC = 220 °
Angle ADC = 220 °: 2 = 110 °.
Let’s check the correctness of the calculations:
110 + 110 + 70 + 70 = 360 – the equality is true.
Answer: angle ADC = 110 °.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.
