In diamond ABCD, the CAD angle is 30 degrees. Find the corners.

In a rhombus, the sum of all angles is 360 °. The diagonal AC is also the bisector of angle A and angle C, and divides these angles in half. Angle CAD – half of angle A. Angle A is equal to: 30 ° * 2 = 60 °.

A rhombus has equal opposite angles. Angle A is equal to angle C. Angle C = 60 °.

Let’s find the second pair of angles:

360 ° – (60 ° + 60 °) = 360 ° – 120 ° = 240 °.

Angle B = 240 °: 2 = 120 °. Angle B = Angle D.

Answer: angle A = angle C = 60 °, angle B = angle D = 120 °.