Question

ratio of angle A and angle D if the measure of angle A is 40°

Answer 1

If the measure of angle A is 40°, and knowing that the sum of the angles in a quadrilateral is 360°, we can calculate the measure of angle D.

360° - 40° (measure of angle A) = 320° (measure of angles C and D combined).

Since angles C and D are equal in a parallelogram, we divide 320° by 2 to find the measure of angle D:

320° / 2 = 160°

Therefore, the ratio of angle A to angle D is:

40° : 160°
or
1:4