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3 years ago

Solve for the values of x and y in each item to make the given quadrillater a parallelogram

Mathematics

1 answer:

maria [59]3 years ago

3 0

Answer:

For given parallelogram, the value of x = 114° and y = 66°

Step-by-step explanation:

(Refer figure)

Given quadrilateral ABCD is a parallelogram.

m∠A = 66°

m∠B = x°

m∠C = y°

m∠D = 114°

Since by properties of parallelogram, the both pairs of opposite sides of a parallelogram are parallel.

Opposite angles of a parallelogram are congruent ...........................(1)

Consecutive angles of a parallelogram are supplementary ................(2)

Using (1) for given parallelogram ABCD; we get,

m∠B = m∠D

m∠A = m∠C

Therefore x = 114° and y = 66°.

Using (2) to check whether the two consecutive angles are supplementary.

( m∠A + m∠D ) = ( m∠B + m∠C ) = ( m∠C + m∠D ) = 66° + 114° = 180°

Hope it helps!!

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We add x to both sides of the equation:

$\frac {5} {3} x + x + 2 = 3\\\frac {5 * 1 + 3 * 1} {3} x + 2 = 3\\\frac {5 + 3} {3} x + 2 = 3\\\frac {8} {3} x + 2 = 3$

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Answer:

$x = \frac {3} {8}$

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faltersainse [42]

Answer:

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3 years ago

Solve for the values of x and y in each item to make the given quadrillater a parallelogram​

Solve for the values of x and y in each item to make the given quadrillater a parallelogram