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Quadrilateral ABCD is inscribed in a circle with angle measures m
*PLEASE ANSWER IMMEDIATELY*

Quadrilateral ABCD is inscribed in a circle with angle measures m *PLEASE ANSWER IMMEDIATELY-example-1

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5 votes

Answer:

B and D

Explanation:

First method :

All angles of a quadrilateral sums to 360 degrees

A + B + C + D = 360

=> 5x^2 + 36x - 336 = 0

=> x = 6 or x = - 56/5 [It gives negative value of angles]

So, A = 58, B = 109, C = 122, D = 71

Second method :

Sum of opposite angles of a quadrilateral inscribed in a circle is 180 degrees

A + C = 180

=> x = 6

So, A = 58, B = 109, C = 122, D = 71

[If there's any mistake, please inform me]

User ChangLi
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