Question

Question 9: Help Me I Beg You (Reupload)

Answer 1

m∠YVX = 42°
m∠y = 74°

x = 3

Explanation:

Alternate interior angles are congruent.

Angle ∠YVX is an alternate interior angle of ∠WXV
This makes both angles equivalent.

m∠YVX is also 42°

Angle y is 74° because the opposite angles in a parallelogram are equal to each other

• m∠y = 74°
  

The opposite sides are also equal in a parallelogram, so 6x = 18

• 6x = 18
• x = 18/6
• x = 3

Rules of a parallelogram:

• opposite angles are congruent
• opposite sides are congruent
• the sum of the angles equals 360°
• opposite sides are parallel
• diagonals are congruent

-Chetan K