Durplly Durplly
  • 02-04-2017
  • Mathematics
contestada

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=

Respuesta :

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!
Answer Link
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
Answer Link

Otras preguntas

I need the help for number 7 plz help me as soon as possible plz help me
an issue of a magazine contained the following statement.dropping less than two inches per mile after emerging from the​ mountains, a river drains into the ocea
if $38 is invested at a simple interest rate of 2% per year, what would the total account balance be after forty years?
Calorimeter question asking for molar enthalpy change?
help please thanks so much
Why does Carson McCullers use the term malady to describe American loneliness?
Which is the BEST explanation for the geographic location of the these ancient Egyptian cities and towns?
Whose study described the differences in the way that boys and girls view morality?
What 5 things cause erosion?
When a wholesaler sold a product at $50 per unit, sales were 184 units per week. After a price increase of $5, however, the average number of units sold dropped