The four vertices of an inscribed quadrilateral divide a circle in the ratio 1 : 2 : 5 : 4.
The four angles of the quadrilateral are
°,
°,
°, and

Question

The four vertices of an inscribed quadrilateral divide a circle in the ratio 1 : 2 : 5 : 4.
The four angles of the quadrilateral are 
°, 
°, 
°, and

jameswelch33 · Answer

who knows the answer

Hero · Answer

How many degrees are there in a circle?

Hero · Answer

@jameswelch33

jameswelch33 · Answer

i dont know

Hero · Answer

The measure of a circle is 360 degrees. Now we have the quadrilateral inscribed in the circle which splits the circle into four angles of the ratio 1:2:5:4.

Hero · Answer

This basically means that we can let the smallest angle of the inscribed quadrilateral represent $x$ degrees. Then the next larger angle will be $2x$, then the next larger angle is $4x$ and the largest angle is $5x$.

Hero · Answer

Since we know the angles must add to 360 degrees we can write
$x + 2x + 4x + 5x = 360$ then solve for $x$.