Durplly Durplly
  • 02-04-2017
  • Mathematics
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Quadrilateral ABCD ​ is inscribed in this circle.

What is the measure of angle A?

Quadrilateral ABCD is inscribed in this circle What is the measure of angle A class=

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Аноним Аноним
  • 03-04-2017
In a cyclic quadrilateral, sum of opposite angles is 180 degrees

So ∠D + ∠B = 180
⇒ x + 116 = 180
⇒ x = 180 - 116
⇒ x = 64

∠A = 2x - 40 = 2*64 - 40 = 128 - 40 = 88°

Hope it helps!
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shaa1984
shaa1984 shaa1984
  • 03-04-2017
Hope it's help
if >B=116 then >D=116/2
x=58
>A=(2*58-40)
>A=76
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