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Quadrilateral ABCD is inscribed in a circle. m  A is 64°, m  B is (6x + 4)°, and m  C is (9x - 1)°. What is m  D?

 Jun 10, 2015

Best Answer 

 #2
avatar+118667 
+5

Quadrilateral ABCD is inscribed in a circle. m  A is 64°, m  B is (6x + 4)°, and m  C is (9x - 1)°. What is m  D?

 

C=180-A=180-64=116

so

9x-1=116

9x=117

x=13

---

B=2x+4=6*13+4=82

D=180-82=98 degrees 

 Jun 11, 2015
 #1
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Since ABCD is inscribed in a circle, A + C = 180°, and B + D = 180°.

So, 64 + 9x - 1 = 180 => x = 13 => D = 98°.

 Jun 10, 2015
 #2
avatar+118667 
+5
Best Answer

Quadrilateral ABCD is inscribed in a circle. m  A is 64°, m  B is (6x + 4)°, and m  C is (9x - 1)°. What is m  D?

 

C=180-A=180-64=116

so

9x-1=116

9x=117

x=13

---

B=2x+4=6*13+4=82

D=180-82=98 degrees 

Melody Jun 11, 2015

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