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Consider kite WXYZ.

Kite W X Y Z is shown. The length of X Y is 3 a minus 5 and the length of Y Z is a + 11. Angle W is 50 degrees, angle X is (3 b) degrees, and angle Y is 70 degrees.
What are the values of a and b?
a = 4; b = 10
a = 4; b = 40
a = 8; b = 10
a = 8; b = 40

User Minhazur
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2 Answers

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Answer:

a = 8; b = 40 btw question answer is 62 and 15 and the very next one is 21 and the next one is 119 and 105

Step-by-step explanation: BECAUSE I JUST GOT IT RIGHT .

User Hfossli
by
8.0k points
5 votes

Answer:

  • a = 8; b = 40

Explanation:

See attached

Given

Kite WXYZ with:

  • XY = 3a - 5
  • YZ = a + 11
  • ∠W = 50°
  • ∠X = 3b
  • ∠Y = 70°

To find

  • Values of a and b

Solution

Since XY and YZ are congruent sides, XY = YZ

  • 3a - 5 = a + 11
  • 3a - a = 11 + 5
  • 2a = 16
  • a = 8

The angles Z and X are equal and the sum of 4 angles is 360°, therefore:

  • 3b + 3b + 50° + 70° = 360°
  • 6b + 120° = 360°
  • 6b = 240°
  • b = 40°

Correct option is the last one

  • a = 8; b = 40°
Consider kite WXYZ. Kite W X Y Z is shown. The length of X Y is 3 a minus 5 and the-example-1
User Losiowaty
by
7.6k points

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