SOLUTION: If ABCD is a parallelogram, m∠A = x° and m∠D = (2x-3)°, find the value of 'x'.

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Question 1019799: If ABCD is a parallelogram, m∠A = x° and m∠D = (2x-3)°, find the value of 'x'.
Answer by ikleyn(52770) About Me  (Show Source):
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If ABCD is a parallelogram, m∠A = x° and m∠D = (2x-3)°, find the value of 'x'.
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A and D are consecutive angles of the parallelogram.

Since in any parallelogram the consecutive angles add up to 180°, you have an equation

x + (2x -3) = 180.

Simplify and solve:

3x = 180 + 3 = 183,

x = 183%2F3 = 61°.