Answer:
see explanation
Explanation:
using the following properties of parallelograms
• opposite sides are congruent
• opposite angles are congruent
• consecutive angles are supplementary ( sum to 180° )
• diagonals bisect each other
(1)
XY = WZ
3a - 4 = a + 2 ( subtract a from both sides )
2a - 4 = 2 ( add 4 to both sides )
2a = 6 ( divide both sides by 2 )
a = 3
and
2b = b + 1 ( subtract 1 from both sides )
b = 1
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(2)
2y - 40 = y + 10 ( subtract y from both sides )
y - 40 = 10 ( add 40 to both sides )
y = 50 , then
y + 10 = 50 + 10 = 60 , so
4x + 60 = 180 ( subtract 4x from both sides )
4x = 120 ( divide both sides by 4 )
x = 30
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(3)
x - 3 = 15 ( add 3 to both sides )
x = 18
and
y + 3 = 12 ( subtract 3 from both sides )
y = 9
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(4)
4x = x + 6 ( subtract x from both sides )
3x = 6 ( divide both sides by 3 )
x = 2
and
5y - 8 = 3y + 1 ( subtract 3y from both sides )
2y - 8 = 1 ( add 8 to both sides )
2y = 9 ( divide both sides by 2 )
y = 4.5