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allochka39001 [22]
3 years ago
6

Figure VWYX is a kite. What is the value of x?

Mathematics
2 answers:
prohojiy [21]3 years ago
8 0

Answer:

The value of x is 6.

Step-by-step explanation:

Given information: VWYX is a kite, ∠W=(18x-2)° and ∠X=(12x+2)°.

According to the properties of kite, the sum of opposite angles of a kite is 180°.

In kite VWYX, ∠W and ∠X are opposite angles, so their sum is 180°.

\angle W+\angle X=180^{\circ}

(18x-2)+(12x+2)=180

On combining like terms we get

(18x+12x)+(-2+2)=180

30x=180

Divide both sides by 30.

x=\frac{180}{30}

x=6

Therefore the value of x is 6.

Anestetic [448]3 years ago
3 0

For this case we have that by definition, the sum of the internal angles of a quadrilateral is 360 degrees.

So we have to:

(18x-2) + (12x + 2) + 90 + 90 = 360

In the figures they indicate that there are two angles of 90 degrees.

We eliminate parentheses:

18x-2 + 12x + 2 + 90 + 90 = 360

We add similar terms:

18x + 12x-2 + 2 + 90 + 90 = 360\\30x + 180 = 360\\30x = 360-180\\30x = 180\\x = \frac {180} {30}\\x = 6

Answer:

x = 6

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