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Quadrilateral SIGN is a parallelogram and the measure of angle S is 130°. Find the measure of each its angles.

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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°

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