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3 years ago

The quadrilateral below is a rectangle. Solve for x and m

Mathematics

1 answer:

ad-work [718]3 years ago

4 0

Answer:

x = 13

∠WZX = 57°

Step-by-step explanation:

Because it is a rectangle, ∠XYZ is 90°

∠XZY + ∠YXZ = 90

(5x - 8) + (x + 20) = 90

simplify:

6x + 12 = 90

subtract 12 from each side

6x = 78

divide both sides by 6

x = 13

∠WZX is complimentary to angle (x + 20)

∠WZX = 90 - (13 + 20) = 57°

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BD is the angle bisector of

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Note: Let us consider, we need to find the $m\angle ABC$ and $m\angle DBC$ .

Given:

In the given figure, BD is the angle bisector of ABC.

To find:

The $m\angle ABC$ and $m\angle DBC$ .

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BD is the angle bisector of ABC. So,

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Divide both sides by 2.

$x=\dfrac{20}{2}$

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Now,

$m\angle DBC=(x+20)^\circ$

$m\angle DBC=(10+20)^\circ$

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And,

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