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What’s the measure for angle VXY

What’s the measure for angle VXY-example-1
User Awaken
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2 Answers

3 votes
18x-2+12x+2=180
30x=180
x=180:30
x=6
<vxy=12*6+2=72+2=74
User Andreas Dolk
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8.0k points
2 votes

Answer with explanation:

Since a kite is A Quadrilateral.Sum of measure of four angles of Quadrilateral is 360°.

In Quadrilateral V W Y X

⇒∠V+∠W+∠Y+∠X=360°

⇒90°+(18 x-2)°+90°+(12 x+2)°=360°

⇒18 x-2 +12 x+2=360° -180°

⇒ 30 x=180°

Dividing both sides by 30, we get

→ x=6°

∠V X Y=12×6°+2

=72°+2°

=74°

Option B

User Leonel Martins
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7.9k points