Question

Please rlly important need asap do all 50 points

Answer 1

11. TS = 123.8 cm

12. SW = 108.8 cm

13. m∠SVU = 123°

14. m∠STU = 123°

15. US = 217.6 cm

16. m∠TUV = 57°

Explanation:

Properties of a Parallelogram:

• Quadrilateral (4-sided, two dimensional shape).
• Opposite sides are equal in length and parallel to each other.
• Diagonals bisect each other (divide into 2 equal parts).
• Diagonals are not equal in length.
• Opposite angles are equal.
• Sum of all the interior angles is 360°.
• Adjacent angles are supplementary (sum to 180°).

11. Opposite sides are equal in length:

• TS = UV = 123.8 cm

12. Diagonals bisect each other (divide into 2 equal parts):

• SW = WU = 108.8 cm

13. Adjacent angles are supplementary (sum to 180°):

⇒ m∠SVU + m∠TSV = 180°

⇒ m∠SVU + 57° = 180°

⇒ m∠SVU = 123°

14. Opposite angles are equal:

• m∠STU = m∠SVU = 123°

15. Diagonals bisect each other (divide into 2 equal parts):

⇒ US = 2 × UW

⇒ US = 2 × 108.8

⇒ US = 217.6 cm

16. Opposite angles are equal:

• m∠TUV = m∠TSV = 57°