Final answer:
In parallelogram SIGN, angle S is 130°. The measure of each angle in the parallelogram is: Angle S = 130°, Angle I = 130°, Angle G = 50°, and Angle N = 50°, because opposite angles are equal and consecutive angles are supplementary in a parallelogram.
Step-by-step explanation:
To find the measure of each angle in a parallelogram, we use the properties of the parallelogram. In a parallelogram, opposite angles are equal, and consecutive angles are supplementary (they add up to 180°).
Given parallelogram SIGN, we are told the measure of angle S is 130°. This means that:
- The measure of angle I is also 130° as it is opposite angle S.
- To find the measure of angle G, we need to find the supplementary angle to 130°. Hence, angle G and angle N are 180° - 130° = 50° each.
Therefore, the measures of the angles in parallelogram SIGN are as follows:
- Angle S = 130°
- Angle I = 130°
- Angle G = 50°
- Angle N = 50°