Find the angle x from the figure if ABCD is a parallelogram in which $∠ D C B$ and $∠ A B C$ are in ratio 2:7.

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Solution

The correct option is C

$∠ D C B$ + $∠ A B C$ = $180^{\circ}$ (Adjacent angles of a parallelogram)
2x + 7x = $180^{\circ}$
x = $20^{\circ}$
$∠ D C B$ = $40^{\circ}$
$∠ A B C$ = $140^{\circ}$
$∠ A D C$ = $∠ A B C$ = $140^{\circ}$ (Opposite angles of a parallelogram)
$∠ A D B$ = $∠ A D C$ /2 = $70^{\circ}$

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Similar questions

ABCD is a parallelogram in which $∠ D C B$ and $∠ A B C$ are in ratio 2:7. Find the sum of $∠ A B D$ and $∠ A D B$ .

∠

∠

∠

∠

∠ D C B a n d ∠ A B C

∠ A B D a n d ∠ A D B

□

∠ A D B = 40^{o}, ∠ A B D = 30^{o}

∠ B A D - ∠ D C B + ∠ A D C - ∠ A B C

∠ B = 40 °

∠ A, ∠ C a n d ∠ D .

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