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BabaBlast [244]
3 years ago
14

Consider kite WXYZ.

Mathematics
2 answers:
kondaur [170]3 years ago
8 0

Answer:

  • a = 8; b = 40

Step-by-step explanation:

<em>See attached</em>

<h3>Given </h3>

<u>Kite WXYZ with:</u>

  • XY = 3a - 5
  • YZ = a + 11
  • ∠W = 50°
  • ∠X = 3b
  • ∠Y = 70°
<h3>To find </h3>
  • Values of a and b
<h3>Solution</h3>

<u>Since XY and YZ are congruent sides, XY = YZ</u>

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

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

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

<u>Correct option is the last one </u>

  • a = 8; b = 40°

Inessa [10]3 years ago
4 0

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 .

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