Question

question 1-3
find the measures of ( x ) and ( y ) in the digram of the parallelogram.
( 2y - 29 )
( 4x - 4 )
( 3x + 5 )
( 3y - 34 )
( x = )
( y = )

Explanation:

Step1: Set equal congruent segments

In a parallelogram, diagonals bisect each other, so $3x + 5 = 4x - 4$

Step2: Solve for $x$

Subtract $3x$ from both sides:
$5 = x - 4$
Add 4 to both sides:
$x = 5 + 4 = 9$

Step3: Set equal congruent segments

For the other pair of bisected segments: $2y - 29 = 3y - 34$

Step4: Solve for $y$

Subtract $2y$ from both sides:
$-29 = y - 34$
Add 34 to both sides:
$y = -29 + 34 = 5$

Answer:

$x = 9$, $y = 5$