In diamond ABCD, the BDC angle is 49 (degrees). Find the DAB corner.

ВD – the diagonal of the rhombus and the bisector of the angle ADC, divides the angle D in half. The BDC angle is half of the ADC angle. The ADC angle is: 2 * 49 ° = 98 °. In a rhombus, the opposite angles are equal, the ABC angle is also 98 °.

Now let’s remember one more property of the rhombus: the sum of all angles is 360 °.

360 – 2 * 98 = 164 ° – found the second pair of opposite angles.

The sought angle DAB is 164: 2 = 82 °.