In a parallelogram ABCD, sum of two angles is 140 degree then find the measures of its acute angles
consecutive angles add to 180.
Looks to me like the two acute angles are 70° each.
does it say which 2 angles?
In a parallelogram, opposite angles are equal. Let's assume that angle A is an acute angle.
Since the sum of two angles is 140 degrees:
Angle A + Angle B = 140 degrees
Since opposite angles are equal, angle A = angle C and angle B = angle D.
So, we have:
Angle A + Angle B = 140 degrees
Angle A + Angle A = 140 degrees
2 * Angle A = 140 degrees
Angle A = 140 degrees / 2
Angle A = 70 degrees
Therefore, the measure of each acute angle in parallelogram ABCD is 70 degrees.
To find the measures of the acute angles in a parallelogram, we need to know the properties of a parallelogram.
In a parallelogram, opposite angles are equal. So, if the sum of two angles is 140 degrees, then each of the other two angles must also be 140 degrees.
Therefore, the measures of the acute angles in the parallelogram ABCD would be 140 degrees each.