daveena051228
daveena051228 daveena051228
  • 26-03-2020
  • Mathematics
contestada

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 class=

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bappyisc
bappyisc bappyisc
  • 26-03-2020

Answer:

B and D

Step-by-step 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]

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