Questions: Find the measurement indicated in each parallelogram.

Find the measurement indicated in each parallelogram.
Transcript text: Find the measurement indicated in each parallelogram.
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Solution

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Solution Steps

Step 1: Find the measure of angle S

In parallelogram QRST, the measure of angle T is given as 135°. Consecutive angles in a parallelogram are supplementary, meaning they add up to 180°. Therefore, the measure of angle S is 180° - 135° = 45°.

Step 2: Find the measure of angle W

In parallelogram UVWX, the measure of angle U is given as 80°. Consecutive angles in a parallelogram are supplementary. Therefore, the measure of angle W is 180° - 80° = 100°.

Step 3: Find the measure of angle C

In parallelogram CDEF, the measure of angle D is unknown, but side ED is marked congruent to side FC. Opposite angles in a parallelogram are congruent, and consecutive angles are supplementary. Since we don't know angle D, we can't find angle C directly. The markings on the diagram suggest finding the length of FC, but that is not possible with only side ED's length given. There does not appear to be enough information to solve for angle C.

Final Answer:

  1. m∠S = 45°
  2. m∠W = 100°
  3. Not enough information is provided.
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